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Finding the Fourth Proportional to 416,921.92, 575,350.80 and 225,940

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Solution

The fourth proportional to 416,921.92, 575,350.80 and 225,940 is: 311,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,921.92 : 575,350.80 = 225,940 : x
  2. Step 2: Convert to fraction form
    416,921.92/575,350.80 = 225,940/x
  3. Step 3: Cross multiply
    416,921.92x = 575,350.80 × 225,940
  4. Step 4: Simplify right side
    416,921.92x = 129,994,759,752.00
  5. Step 5: Solve for x
    x = 129,994,759,752.00/416,921.92
  6. Step 6: Final answer
    x = 311,796.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.