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Finding the Fourth Proportional to 310,287,390,003.78, 465,431,085,005.67 and 310,287,390,003.78

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Solution

The fourth proportional to 310,287,390,003.78, 465,431,085,005.67 and 310,287,390,003.78 is: 465,431,085,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287,390,003.78 : 465,431,085,005.67 = 310,287,390,003.78 : x
  2. Step 2: Convert to fraction form
    310,287,390,003.78/465,431,085,005.67 = 310,287,390,003.78/x
  3. Step 3: Cross multiply
    310,287,390,003.78x = 465,431,085,005.67 × 310,287,390,003.78
  4. Step 4: Simplify right side
    310,287,390,003.78x = 144,417,396,593,036,821,004,288
  5. Step 5: Solve for x
    x = 144,417,396,593,036,821,004,288/310,287,390,003.78
  6. Step 6: Final answer
    x = 465,431,085,005.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.