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Finding the Fourth Proportional to 310,500.51, 465,750.76 and 100,138.45

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Solution

The fourth proportional to 310,500.51, 465,750.76 and 100,138.45 is: 150,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,500.51 : 465,750.76 = 100,138.45 : x
  2. Step 2: Convert to fraction form
    310,500.51/465,750.76 = 100,138.45/x
  3. Step 3: Cross multiply
    310,500.51x = 465,750.76 × 100,138.45
  4. Step 4: Simplify right side
    310,500.51x = 46,639,559,192.72
  5. Step 5: Solve for x
    x = 46,639,559,192.72/310,500.51
  6. Step 6: Final answer
    x = 150,207.67

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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.