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Finding the Fourth Proportional to 521,343.52, 781,715.54 and 277,884.70

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Solution

The fourth proportional to 521,343.52, 781,715.54 and 277,884.70 is: 416,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,343.52 : 781,715.54 = 277,884.70 : x
  2. Step 2: Convert to fraction form
    521,343.52/781,715.54 = 277,884.70/x
  3. Step 3: Cross multiply
    521,343.52x = 781,715.54 × 277,884.70
  4. Step 4: Simplify right side
    521,343.52x = 217,226,787,058.66
  5. Step 5: Solve for x
    x = 217,226,787,058.66/521,343.52
  6. Step 6: Final answer
    x = 416,667.28

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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.