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Finding the Fourth Proportional to 416,740.20, 575,103.21 and 225,753.57

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Solution

The fourth proportional to 416,740.20, 575,103.21 and 225,753.57 is: 311,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,740.20 : 575,103.21 = 225,753.57 : x
  2. Step 2: Convert to fraction form
    416,740.20/575,103.21 = 225,753.57/x
  3. Step 3: Cross multiply
    416,740.20x = 575,103.21 × 225,753.57
  4. Step 4: Simplify right side
    416,740.20x = 129,831,602,775.96
  5. Step 5: Solve for x
    x = 129,831,602,775.96/416,740.20
  6. Step 6: Final answer
    x = 311,540.87

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1.5x scale

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.