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Finding the Fourth Proportional to 503,508.48, 694,760.40 and 288,609

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Solution

The fourth proportional to 503,508.48, 694,760.40 and 288,609 is: 398,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,508.48 : 694,760.40 = 288,609 : x
  2. Step 2: Convert to fraction form
    503,508.48/694,760.40 = 288,609/x
  3. Step 3: Cross multiply
    503,508.48x = 694,760.40 × 288,609
  4. Step 4: Simplify right side
    503,508.48x = 200,514,104,283.60
  5. Step 5: Solve for x
    x = 200,514,104,283.60/503,508.48
  6. Step 6: Final answer
    x = 398,233.82

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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.