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Finding the Fourth Proportional to 402,929.60, 604,469.14 and 133,076.42

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Solution

The fourth proportional to 402,929.60, 604,469.14 and 133,076.42 is: 199,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,929.60 : 604,469.14 = 133,076.42 : x
  2. Step 2: Convert to fraction form
    402,929.60/604,469.14 = 133,076.42/x
  3. Step 3: Cross multiply
    402,929.60x = 604,469.14 × 133,076.42
  4. Step 4: Simplify right side
    402,929.60x = 80,440,589,151.68
  5. Step 5: Solve for x
    x = 80,440,589,151.68/402,929.60
  6. Step 6: Final answer
    x = 199,639.31

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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.