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Finding the Fourth Proportional to 399,243.62, 550,956.42 and 229,477.34

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Solution

The fourth proportional to 399,243.62, 550,956.42 and 229,477.34 is: 316,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,243.62 : 550,956.42 = 229,477.34 : x
  2. Step 2: Convert to fraction form
    399,243.62/550,956.42 = 229,477.34/x
  3. Step 3: Cross multiply
    399,243.62x = 550,956.42 × 229,477.34
  4. Step 4: Simplify right side
    399,243.62x = 126,432,013,717.52
  5. Step 5: Solve for x
    x = 126,432,013,717.52/399,243.62
  6. Step 6: Final answer
    x = 316,678.86

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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.