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Finding the Fourth Proportional to 315,061.20, 472,662.30 and 115,377.60

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Solution

The fourth proportional to 315,061.20, 472,662.30 and 115,377.60 is: 173,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,061.20 : 472,662.30 = 115,377.60 : x
  2. Step 2: Convert to fraction form
    315,061.20/472,662.30 = 115,377.60/x
  3. Step 3: Cross multiply
    315,061.20x = 472,662.30 × 115,377.60
  4. Step 4: Simplify right side
    315,061.20x = 54,534,641,784.48
  5. Step 5: Solve for x
    x = 54,534,641,784.48/315,061.20
  6. Step 6: Final answer
    x = 173,092.22

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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.