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Finding the Fourth Proportional to 402,930.60, 604,470.64 and 133,077.42

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Solution

The fourth proportional to 402,930.60, 604,470.64 and 133,077.42 is: 199,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,930.60 : 604,470.64 = 133,077.42 : x
  2. Step 2: Convert to fraction form
    402,930.60/604,470.64 = 133,077.42/x
  3. Step 3: Cross multiply
    402,930.60x = 604,470.64 × 133,077.42
  4. Step 4: Simplify right side
    402,930.60x = 80,441,393,236.95
  5. Step 5: Solve for x
    x = 80,441,393,236.95/402,930.60
  6. Step 6: Final answer
    x = 199,640.81

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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.