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Finding the Fourth Proportional to 642,275.20, 962,491.20 and 472,470.40

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Solution

The fourth proportional to 642,275.20, 962,491.20 and 472,470.40 is: 708,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,275.20 : 962,491.20 = 472,470.40 : x
  2. Step 2: Convert to fraction form
    642,275.20/962,491.20 = 472,470.40/x
  3. Step 3: Cross multiply
    642,275.20x = 962,491.20 × 472,470.40
  4. Step 4: Simplify right side
    642,275.20x = 454,748,602,260.48
  5. Step 5: Solve for x
    x = 454,748,602,260.48/642,275.20
  6. Step 6: Final answer
    x = 708,027.65

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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.