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Finding the Fourth Proportional to 457,839.48, 686,857.64 and 154,263.80

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Solution

The fourth proportional to 457,839.48, 686,857.64 and 154,263.80 is: 231,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,839.48 : 686,857.64 = 154,263.80 : x
  2. Step 2: Convert to fraction form
    457,839.48/686,857.64 = 154,263.80/x
  3. Step 3: Cross multiply
    457,839.48x = 686,857.64 × 154,263.80
  4. Step 4: Simplify right side
    457,839.48x = 105,957,269,605.43
  5. Step 5: Solve for x
    x = 105,957,269,605.43/457,839.48
  6. Step 6: Final answer
    x = 231,428.86

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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.