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Finding the Fourth Proportional to 457,479.84, 686,335.92 and 137,629.92

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Solution

The fourth proportional to 457,479.84, 686,335.92 and 137,629.92 is: 206,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,479.84 : 686,335.92 = 137,629.92 : x
  2. Step 2: Convert to fraction form
    457,479.84/686,335.92 = 137,629.92/x
  3. Step 3: Cross multiply
    457,479.84x = 686,335.92 × 137,629.92
  4. Step 4: Simplify right side
    457,479.84x = 94,460,357,762.73
  5. Step 5: Solve for x
    x = 94,460,357,762.73/457,479.84
  6. Step 6: Final answer
    x = 206,479.83

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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.