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Finding the Fourth Proportional to 457,780.48, 686,539.50 and 137,963.32

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Solution

The fourth proportional to 457,780.48, 686,539.50 and 137,963.32 is: 206,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,780.48 : 686,539.50 = 137,963.32 : x
  2. Step 2: Convert to fraction form
    457,780.48/686,539.50 = 137,963.32/x
  3. Step 3: Cross multiply
    457,780.48x = 686,539.50 × 137,963.32
  4. Step 4: Simplify right side
    457,780.48x = 94,717,268,731.14
  5. Step 5: Solve for x
    x = 94,717,268,731.14/457,780.48
  6. Step 6: Final answer
    x = 206,905.43

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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.