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Finding the Fourth Proportional to 315,331.82, 472,716.51 and 115,605.66

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Solution

The fourth proportional to 315,331.82, 472,716.51 and 115,605.66 is: 173,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,331.82 : 472,716.51 = 115,605.66 : x
  2. Step 2: Convert to fraction form
    315,331.82/472,716.51 = 115,605.66/x
  3. Step 3: Cross multiply
    315,331.82x = 472,716.51 × 115,605.66
  4. Step 4: Simplify right side
    315,331.82x = 54,648,705,470.61
  5. Step 5: Solve for x
    x = 54,648,705,470.61/315,331.82
  6. Step 6: Final answer
    x = 173,305.40

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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.