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Finding the Fourth Proportional to 624,164.82, 862,229.25 and 496,677.30

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Solution

The fourth proportional to 624,164.82, 862,229.25 and 496,677.30 is: 686,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,164.82 : 862,229.25 = 496,677.30 : x
  2. Step 2: Convert to fraction form
    624,164.82/862,229.25 = 496,677.30/x
  3. Step 3: Cross multiply
    624,164.82x = 862,229.25 × 496,677.30
  4. Step 4: Simplify right side
    624,164.82x = 428,249,695,871.03
  5. Step 5: Solve for x
    x = 428,249,695,871.03/624,164.82
  6. Step 6: Final answer
    x = 686,116.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.