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Finding the Fourth Proportional to 329,502.32, 454,761.78 and 208,654.64

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Solution

The fourth proportional to 329,502.32, 454,761.78 and 208,654.64 is: 287,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,502.32 : 454,761.78 = 208,654.64 : x
  2. Step 2: Convert to fraction form
    329,502.32/454,761.78 = 208,654.64/x
  3. Step 3: Cross multiply
    329,502.32x = 454,761.78 × 208,654.64
  4. Step 4: Simplify right side
    329,502.32x = 94,888,155,491.66
  5. Step 5: Solve for x
    x = 94,888,155,491.66/329,502.32
  6. Step 6: Final answer
    x = 287,974.17

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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.