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Finding the Fourth Proportional to 349,034.49, 523,726.70 and 138,732.57

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Solution

The fourth proportional to 349,034.49, 523,726.70 and 138,732.57 is: 208,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,034.49 : 523,726.70 = 138,732.57 : x
  2. Step 2: Convert to fraction form
    349,034.49/523,726.70 = 138,732.57/x
  3. Step 3: Cross multiply
    349,034.49x = 523,726.70 × 138,732.57
  4. Step 4: Simplify right side
    349,034.49x = 72,657,951,068.62
  5. Step 5: Solve for x
    x = 72,657,951,068.62/349,034.49
  6. Step 6: Final answer
    x = 208,168.40

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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.