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Finding the Fourth Proportional to 416,901.92, 575,323.20 and 225,920

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Solution

The fourth proportional to 416,901.92, 575,323.20 and 225,920 is: 311,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,901.92 : 575,323.20 = 225,920 : x
  2. Step 2: Convert to fraction form
    416,901.92/575,323.20 = 225,920/x
  3. Step 3: Cross multiply
    416,901.92x = 575,323.20 × 225,920
  4. Step 4: Simplify right side
    416,901.92x = 129,977,017,344.00
  5. Step 5: Solve for x
    x = 129,977,017,344.00/416,901.92
  6. Step 6: Final answer
    x = 311,768.81

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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.