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Finding the Fourth Proportional to 502,959.76, 694,092.88 and 288,118.56

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Solution

The fourth proportional to 502,959.76, 694,092.88 and 288,118.56 is: 397,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,959.76 : 694,092.88 = 288,118.56 : x
  2. Step 2: Convert to fraction form
    502,959.76/694,092.88 = 288,118.56/x
  3. Step 3: Cross multiply
    502,959.76x = 694,092.88 × 288,118.56
  4. Step 4: Simplify right side
    502,959.76x = 199,981,041,091.85
  5. Step 5: Solve for x
    x = 199,981,041,091.85/502,959.76
  6. Step 6: Final answer
    x = 397,608.43

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1.5x scale

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.