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Finding the Fourth Proportional to 642,309.20, 962,542.20 and 472,504.40

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Solution

The fourth proportional to 642,309.20, 962,542.20 and 472,504.40 is: 708,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,309.20 : 962,542.20 = 472,504.40 : x
  2. Step 2: Convert to fraction form
    642,309.20/962,542.20 = 472,504.40/x
  3. Step 3: Cross multiply
    642,309.20x = 962,542.20 × 472,504.40
  4. Step 4: Simplify right side
    642,309.20x = 454,805,424,685.68
  5. Step 5: Solve for x
    x = 454,805,424,685.68/642,309.20
  6. Step 6: Final answer
    x = 708,078.64

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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.