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Finding the Fourth Proportional to 315,020.98, 472,446.72 and 115,342.41

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Solution

The fourth proportional to 315,020.98, 472,446.72 and 115,342.41 is: 172,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,020.98 : 472,446.72 = 115,342.41 : x
  2. Step 2: Convert to fraction form
    315,020.98/472,446.72 = 115,342.41/x
  3. Step 3: Cross multiply
    315,020.98x = 472,446.72 × 115,342.41
  4. Step 4: Simplify right side
    315,020.98x = 54,493,145,053.07
  5. Step 5: Solve for x
    x = 54,493,145,053.07/315,020.98
  6. Step 6: Final answer
    x = 172,982.59

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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.