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Finding the Fourth Proportional to 564,919.70, 779,585.65 and 338,565.20

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Solution

The fourth proportional to 564,919.70, 779,585.65 and 338,565.20 is: 467,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,919.70 : 779,585.65 = 338,565.20 : x
  2. Step 2: Convert to fraction form
    564,919.70/779,585.65 = 338,565.20/x
  3. Step 3: Cross multiply
    564,919.70x = 779,585.65 × 338,565.20
  4. Step 4: Simplify right side
    564,919.70x = 263,940,566,765.04
  5. Step 5: Solve for x
    x = 263,940,566,765.04/564,919.70
  6. Step 6: Final answer
    x = 467,217.85

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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.