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Finding the Fourth Proportional to 402,003.68, 602,217.12 and 233,169.20

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Solution

The fourth proportional to 402,003.68, 602,217.12 and 233,169.20 is: 349,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,003.68 : 602,217.12 = 233,169.20 : x
  2. Step 2: Convert to fraction form
    402,003.68/602,217.12 = 233,169.20/x
  3. Step 3: Cross multiply
    402,003.68x = 602,217.12 × 233,169.20
  4. Step 4: Simplify right side
    402,003.68x = 140,418,484,096.70
  5. Step 5: Solve for x
    x = 140,418,484,096.70/402,003.68
  6. Step 6: Final answer
    x = 349,296.51

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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.