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Finding the Fourth Proportional to 457,782.48, 686,542.50 and 137,965.32

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Solution

The fourth proportional to 457,782.48, 686,542.50 and 137,965.32 is: 206,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,782.48 : 686,542.50 = 137,965.32 : x
  2. Step 2: Convert to fraction form
    457,782.48/686,542.50 = 137,965.32/x
  3. Step 3: Cross multiply
    457,782.48x = 686,542.50 × 137,965.32
  4. Step 4: Simplify right side
    457,782.48x = 94,719,055,706.10
  5. Step 5: Solve for x
    x = 94,719,055,706.10/457,782.48
  6. Step 6: Final answer
    x = 206,908.43

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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.