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Finding the Fourth Proportional to 491,878.92, 737,922.06 and 159,429

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Solution

The fourth proportional to 491,878.92, 737,922.06 and 159,429 is: 239,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,878.92 : 737,922.06 = 159,429 : x
  2. Step 2: Convert to fraction form
    491,878.92/737,922.06 = 159,429/x
  3. Step 3: Cross multiply
    491,878.92x = 737,922.06 × 159,429
  4. Step 4: Simplify right side
    491,878.92x = 117,646,176,103.74
  5. Step 5: Solve for x
    x = 117,646,176,103.74/491,878.92
  6. Step 6: Final answer
    x = 239,177.11

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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.