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Finding the Fourth Proportional to 475,237.78, 712,857.02 and 120,251.46

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Solution

The fourth proportional to 475,237.78, 712,857.02 and 120,251.46 is: 180,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,237.78 : 712,857.02 = 120,251.46 : x
  2. Step 2: Convert to fraction form
    475,237.78/712,857.02 = 120,251.46/x
  3. Step 3: Cross multiply
    475,237.78x = 712,857.02 × 120,251.46
  4. Step 4: Simplify right side
    475,237.78x = 85,722,097,426.25
  5. Step 5: Solve for x
    x = 85,722,097,426.25/475,237.78
  6. Step 6: Final answer
    x = 180,377.28

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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.