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Finding the Fourth Proportional to 457,537.26, 686,147.90 and 187,588.80

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Solution

The fourth proportional to 457,537.26, 686,147.90 and 187,588.80 is: 281,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,537.26 : 686,147.90 = 187,588.80 : x
  2. Step 2: Convert to fraction form
    457,537.26/686,147.90 = 187,588.80/x
  3. Step 3: Cross multiply
    457,537.26x = 686,147.90 × 187,588.80
  4. Step 4: Simplify right side
    457,537.26x = 128,713,656,814.84
  5. Step 5: Solve for x
    x = 128,713,656,814.84/457,537.26
  6. Step 6: Final answer
    x = 281,318.42

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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.