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Finding the Fourth Proportional to 322,878.29, 484,317.90 and 154,359

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Solution

The fourth proportional to 322,878.29, 484,317.90 and 154,359 is: 231,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,878.29 : 484,317.90 = 154,359 : x
  2. Step 2: Convert to fraction form
    322,878.29/484,317.90 = 154,359/x
  3. Step 3: Cross multiply
    322,878.29x = 484,317.90 × 154,359
  4. Step 4: Simplify right side
    322,878.29x = 74,758,826,726.10
  5. Step 5: Solve for x
    x = 74,758,826,726.10/322,878.29
  6. Step 6: Final answer
    x = 231,538.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.