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Finding the Fourth Proportional to 642,470.60, 962,906.24 and 414,164.20

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Solution

The fourth proportional to 642,470.60, 962,906.24 and 414,164.20 is: 620,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,470.60 : 962,906.24 = 414,164.20 : x
  2. Step 2: Convert to fraction form
    642,470.60/962,906.24 = 414,164.20/x
  3. Step 3: Cross multiply
    642,470.60x = 962,906.24 × 414,164.20
  4. Step 4: Simplify right side
    642,470.60x = 398,801,292,564.61
  5. Step 5: Solve for x
    x = 398,801,292,564.61/642,470.60
  6. Step 6: Final answer
    x = 620,730.80

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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.