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Finding the Fourth Proportional to 398,517.83, 549,943.65 and 217,233.30

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Solution

The fourth proportional to 398,517.83, 549,943.65 and 217,233.30 is: 299,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,517.83 : 549,943.65 = 217,233.30 : x
  2. Step 2: Convert to fraction form
    398,517.83/549,943.65 = 217,233.30/x
  3. Step 3: Cross multiply
    398,517.83x = 549,943.65 × 217,233.30
  4. Step 4: Simplify right side
    398,517.83x = 119,466,073,903.55
  5. Step 5: Solve for x
    x = 119,466,073,903.55/398,517.83
  6. Step 6: Final answer
    x = 299,775.98

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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.