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Finding the Fourth Proportional to 610,864.20, 917,171.10 and 462,148.20

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Solution

The fourth proportional to 610,864.20, 917,171.10 and 462,148.20 is: 693,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,864.20 : 917,171.10 = 462,148.20 : x
  2. Step 2: Convert to fraction form
    610,864.20/917,171.10 = 462,148.20/x
  3. Step 3: Cross multiply
    610,864.20x = 917,171.10 × 462,148.20
  4. Step 4: Simplify right side
    610,864.20x = 423,868,972,957.02
  5. Step 5: Solve for x
    x = 423,868,972,957.02/610,864.20
  6. Step 6: Final answer
    x = 693,884.13

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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.