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Finding the Fourth Proportional to 402,744.20, 604,310.70 and 284,160.20

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Solution

The fourth proportional to 402,744.20, 604,310.70 and 284,160.20 is: 426,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,744.20 : 604,310.70 = 284,160.20 : x
  2. Step 2: Convert to fraction form
    402,744.20/604,310.70 = 284,160.20/x
  3. Step 3: Cross multiply
    402,744.20x = 604,310.70 × 284,160.20
  4. Step 4: Simplify right side
    402,744.20x = 171,721,049,374.14
  5. Step 5: Solve for x
    x = 171,721,049,374.14/402,744.20
  6. Step 6: Final answer
    x = 426,377.46

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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.