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Finding the Fourth Proportional to 502,105.80, 692,921.94 and 275,751.30

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Solution

The fourth proportional to 502,105.80, 692,921.94 and 275,751.30 is: 380,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,105.80 : 692,921.94 = 275,751.30 : x
  2. Step 2: Convert to fraction form
    502,105.80/692,921.94 = 275,751.30/x
  3. Step 3: Cross multiply
    502,105.80x = 692,921.94 × 275,751.30
  4. Step 4: Simplify right side
    502,105.80x = 191,074,125,753.52
  5. Step 5: Solve for x
    x = 191,074,125,753.52/502,105.80
  6. Step 6: Final answer
    x = 380,545.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.