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Finding the Fourth Proportional to 398,049.03, 549,302.22 and 225,965.50

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Solution

The fourth proportional to 398,049.03, 549,302.22 and 225,965.50 is: 311,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,049.03 : 549,302.22 = 225,965.50 : x
  2. Step 2: Convert to fraction form
    398,049.03/549,302.22 = 225,965.50/x
  3. Step 3: Cross multiply
    398,049.03x = 549,302.22 × 225,965.50
  4. Step 4: Simplify right side
    398,049.03x = 124,123,350,793.41
  5. Step 5: Solve for x
    x = 124,123,350,793.41/398,049.03
  6. Step 6: Final answer
    x = 311,829.30

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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.