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Finding the Fourth Proportional to 329,678.88, 454,956.85 and 178,776

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Solution

The fourth proportional to 329,678.88, 454,956.85 and 178,776 is: 246,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.88 : 454,956.85 = 178,776 : x
  2. Step 2: Convert to fraction form
    329,678.88/454,956.85 = 178,776/x
  3. Step 3: Cross multiply
    329,678.88x = 454,956.85 × 178,776
  4. Step 4: Simplify right side
    329,678.88x = 81,335,365,815.60
  5. Step 5: Solve for x
    x = 81,335,365,815.60/329,678.88
  6. Step 6: Final answer
    x = 246,710.88

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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.