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Finding the Fourth Proportional to 624,617.64, 861,979.20 and 338,143.80

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Solution

The fourth proportional to 624,617.64, 861,979.20 and 338,143.80 is: 466,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,617.64 : 861,979.20 = 338,143.80 : x
  2. Step 2: Convert to fraction form
    624,617.64/861,979.20 = 338,143.80/x
  3. Step 3: Cross multiply
    624,617.64x = 861,979.20 × 338,143.80
  4. Step 4: Simplify right side
    624,617.64x = 291,472,922,208.96
  5. Step 5: Solve for x
    x = 291,472,922,208.96/624,617.64
  6. Step 6: Final answer
    x = 466,642.16

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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.