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Finding the Fourth Proportional to 398,475.46, 549,892.64 and 217,187.40

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Solution

The fourth proportional to 398,475.46, 549,892.64 and 217,187.40 is: 299,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,475.46 : 549,892.64 = 217,187.40 : x
  2. Step 2: Convert to fraction form
    398,475.46/549,892.64 = 217,187.40/x
  3. Step 3: Cross multiply
    398,475.46x = 549,892.64 × 217,187.40
  4. Step 4: Simplify right side
    398,475.46x = 119,429,752,760.74
  5. Step 5: Solve for x
    x = 119,429,752,760.74/398,475.46
  6. Step 6: Final answer
    x = 299,716.71

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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.