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Finding the Fourth Proportional to 310,000.50, 465,040.86 and 213,758.84

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Solution

The fourth proportional to 310,000.50, 465,040.86 and 213,758.84 is: 320,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,000.50 : 465,040.86 = 213,758.84 : x
  2. Step 2: Convert to fraction form
    310,000.50/465,040.86 = 213,758.84/x
  3. Step 3: Cross multiply
    310,000.50x = 465,040.86 × 213,758.84
  4. Step 4: Simplify right side
    310,000.50x = 99,406,594,786.20
  5. Step 5: Solve for x
    x = 99,406,594,786.20/310,000.50
  6. Step 6: Final answer
    x = 320,665.92

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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.