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Finding the Fourth Proportional to 412,239.31, 617,445.42 and 316,766.73

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Solution

The fourth proportional to 412,239.31, 617,445.42 and 316,766.73 is: 474,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,239.31 : 617,445.42 = 316,766.73 : x
  2. Step 2: Convert to fraction form
    412,239.31/617,445.42 = 316,766.73/x
  3. Step 3: Cross multiply
    412,239.31x = 617,445.42 × 316,766.73
  4. Step 4: Simplify right side
    412,239.31x = 195,586,167,774.42
  5. Step 5: Solve for x
    x = 195,586,167,774.42/412,239.31
  6. Step 6: Final answer
    x = 474,448.13

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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.