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Finding the Fourth Proportional to 457,591.69, 686,172.39 and 169,204.08

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Solution

The fourth proportional to 457,591.69, 686,172.39 and 169,204.08 is: 253,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,591.69 : 686,172.39 = 169,204.08 : x
  2. Step 2: Convert to fraction form
    457,591.69/686,172.39 = 169,204.08/x
  3. Step 3: Cross multiply
    457,591.69x = 686,172.39 × 169,204.08
  4. Step 4: Simplify right side
    457,591.69x = 116,103,167,971.35
  5. Step 5: Solve for x
    x = 116,103,167,971.35/457,591.69
  6. Step 6: Final answer
    x = 253,726.57

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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.