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Finding the Fourth Proportional to 457,744.32, 686,646.72 and 158,253.84

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Solution

The fourth proportional to 457,744.32, 686,646.72 and 158,253.84 is: 237,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,744.32 : 686,646.72 = 158,253.84 : x
  2. Step 2: Convert to fraction form
    457,744.32/686,646.72 = 158,253.84/x
  3. Step 3: Cross multiply
    457,744.32x = 686,646.72 × 158,253.84
  4. Step 4: Simplify right side
    457,744.32x = 108,664,480,163.41
  5. Step 5: Solve for x
    x = 108,664,480,163.41/457,744.32
  6. Step 6: Final answer
    x = 237,391.21

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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.