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Finding the Fourth Proportional to 475,179.60, 712,193.40 and 275,115.60

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Solution

The fourth proportional to 475,179.60, 712,193.40 and 275,115.60 is: 412,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,179.60 : 712,193.40 = 275,115.60 : x
  2. Step 2: Convert to fraction form
    475,179.60/712,193.40 = 275,115.60/x
  3. Step 3: Cross multiply
    475,179.60x = 712,193.40 × 275,115.60
  4. Step 4: Simplify right side
    475,179.60x = 195,935,514,557.04
  5. Step 5: Solve for x
    x = 195,935,514,557.04/475,179.60
  6. Step 6: Final answer
    x = 412,339.91

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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.