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Finding the Fourth Proportional to 306,951.78, 423,612.90 and 172,824.42

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Solution

The fourth proportional to 306,951.78, 423,612.90 and 172,824.42 is: 238,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,951.78 : 423,612.90 = 172,824.42 : x
  2. Step 2: Convert to fraction form
    306,951.78/423,612.90 = 172,824.42/x
  3. Step 3: Cross multiply
    306,951.78x = 423,612.90 × 172,824.42
  4. Step 4: Simplify right side
    306,951.78x = 73,210,653,747.02
  5. Step 5: Solve for x
    x = 73,210,653,747.02/306,951.78
  6. Step 6: Final answer
    x = 238,508.65

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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.