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Finding the Fourth Proportional to 642,253.20, 962,458.20 and 472,448.40

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Solution

The fourth proportional to 642,253.20, 962,458.20 and 472,448.40 is: 707,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,253.20 : 962,458.20 = 472,448.40 : x
  2. Step 2: Convert to fraction form
    642,253.20/962,458.20 = 472,448.40/x
  3. Step 3: Cross multiply
    642,253.20x = 962,458.20 × 472,448.40
  4. Step 4: Simplify right side
    642,253.20x = 454,711,836,656.88
  5. Step 5: Solve for x
    x = 454,711,836,656.88/642,253.20
  6. Step 6: Final answer
    x = 707,994.66

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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.