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Finding the Fourth Proportional to 394,314.40, 591,714.60 and 157,632.40

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Solution

The fourth proportional to 394,314.40, 591,714.60 and 157,632.40 is: 236,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,314.40 : 591,714.60 = 157,632.40 : x
  2. Step 2: Convert to fraction form
    394,314.40/591,714.60 = 157,632.40/x
  3. Step 3: Cross multiply
    394,314.40x = 591,714.60 × 157,632.40
  4. Step 4: Simplify right side
    394,314.40x = 93,273,392,513.04
  5. Step 5: Solve for x
    x = 93,273,392,513.04/394,314.40
  6. Step 6: Final answer
    x = 236,545.74

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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.