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Finding the Fourth Proportional to 511,221.74, 705,488.80 and 296,489.12

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Solution

The fourth proportional to 511,221.74, 705,488.80 and 296,489.12 is: 409,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,221.74 : 705,488.80 = 296,489.12 : x
  2. Step 2: Convert to fraction form
    511,221.74/705,488.80 = 296,489.12/x
  3. Step 3: Cross multiply
    511,221.74x = 705,488.80 × 296,489.12
  4. Step 4: Simplify right side
    511,221.74x = 209,169,753,481.86
  5. Step 5: Solve for x
    x = 209,169,753,481.86/511,221.74
  6. Step 6: Final answer
    x = 409,156.61

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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.