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Finding the Fourth Proportional to 457,488, 686,232 and 125,064

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Solution

The fourth proportional to 457,488, 686,232 and 125,064 is: 187,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,488 : 686,232 = 125,064 : x
  2. Step 2: Convert to fraction form
    457,488/686,232 = 125,064/x
  3. Step 3: Cross multiply
    457,488x = 686,232 × 125,064
  4. Step 4: Simplify right side
    457,488x = 85,822,918,848
  5. Step 5: Solve for x
    x = 85,822,918,848/457,488
  6. Step 6: Final answer
    x = 187,596

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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.