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Finding the Fourth Proportional to 314,814.78, 434,456.12 and 178,871.78

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Solution

The fourth proportional to 314,814.78, 434,456.12 and 178,871.78 is: 246,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,814.78 : 434,456.12 = 178,871.78 : x
  2. Step 2: Convert to fraction form
    314,814.78/434,456.12 = 178,871.78/x
  3. Step 3: Cross multiply
    314,814.78x = 434,456.12 × 178,871.78
  4. Step 4: Simplify right side
    314,814.78x = 77,711,939,516.29
  5. Step 5: Solve for x
    x = 77,711,939,516.29/314,814.78
  6. Step 6: Final answer
    x = 246,849.72

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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.