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Finding the Fourth Proportional to 642,264.20, 962,474.70 and 472,459.40

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Solution

The fourth proportional to 642,264.20, 962,474.70 and 472,459.40 is: 708,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,264.20 : 962,474.70 = 472,459.40 : x
  2. Step 2: Convert to fraction form
    642,264.20/962,474.70 = 472,459.40/x
  3. Step 3: Cross multiply
    642,264.20x = 962,474.70 × 472,459.40
  4. Step 4: Simplify right side
    642,264.20x = 454,730,219,277.18
  5. Step 5: Solve for x
    x = 454,730,219,277.18/642,264.20
  6. Step 6: Final answer
    x = 708,011.16

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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.