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Finding the Fourth Proportional to 416,688.12, 575,029.80 and 225,702

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Solution

The fourth proportional to 416,688.12, 575,029.80 and 225,702 is: 311,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,688.12 : 575,029.80 = 225,702 : x
  2. Step 2: Convert to fraction form
    416,688.12/575,029.80 = 225,702/x
  3. Step 3: Cross multiply
    416,688.12x = 575,029.80 × 225,702
  4. Step 4: Simplify right side
    416,688.12x = 129,785,375,919.60
  5. Step 5: Solve for x
    x = 129,785,375,919.60/416,688.12
  6. Step 6: Final answer
    x = 311,468.87

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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.