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Finding the Fourth Proportional to 315,431.35, 472,867.16 and 115,705.80

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Solution

The fourth proportional to 315,431.35, 472,867.16 and 115,705.80 is: 173,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,431.35 : 472,867.16 = 115,705.80 : x
  2. Step 2: Convert to fraction form
    315,431.35/472,867.16 = 115,705.80/x
  3. Step 3: Cross multiply
    315,431.35x = 472,867.16 × 115,705.80
  4. Step 4: Simplify right side
    315,431.35x = 54,713,472,035.03
  5. Step 5: Solve for x
    x = 54,713,472,035.03/315,431.35
  6. Step 6: Final answer
    x = 173,456.04

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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.