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Finding the Fourth Proportional to 312,490.48, 468,757.68 and 125,502

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Solution

The fourth proportional to 312,490.48, 468,757.68 and 125,502 is: 188,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,490.48 : 468,757.68 = 125,502 : x
  2. Step 2: Convert to fraction form
    312,490.48/468,757.68 = 125,502/x
  3. Step 3: Cross multiply
    312,490.48x = 468,757.68 × 125,502
  4. Step 4: Simplify right side
    312,490.48x = 58,830,026,355.36
  5. Step 5: Solve for x
    x = 58,830,026,355.36/312,490.48
  6. Step 6: Final answer
    x = 188,261.82

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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.