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Finding the Fourth Proportional to 294,154.38, 441,275.31 and 136,398.78

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Solution

The fourth proportional to 294,154.38, 441,275.31 and 136,398.78 is: 204,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,154.38 : 441,275.31 = 136,398.78 : x
  2. Step 2: Convert to fraction form
    294,154.38/441,275.31 = 136,398.78/x
  3. Step 3: Cross multiply
    294,154.38x = 441,275.31 × 136,398.78
  4. Step 4: Simplify right side
    294,154.38x = 60,189,413,928.12
  5. Step 5: Solve for x
    x = 60,189,413,928.12/294,154.38
  6. Step 6: Final answer
    x = 204,618.45

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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.