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Finding the Fourth Proportional to 398,396.38, 549,773.04 and 217,104.61

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Solution

The fourth proportional to 398,396.38, 549,773.04 and 217,104.61 is: 299,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,396.38 : 549,773.04 = 217,104.61 : x
  2. Step 2: Convert to fraction form
    398,396.38/549,773.04 = 217,104.61/x
  3. Step 3: Cross multiply
    398,396.38x = 549,773.04 × 217,104.61
  4. Step 4: Simplify right side
    398,396.38x = 119,358,261,437.71
  5. Step 5: Solve for x
    x = 119,358,261,437.71/398,396.38
  6. Step 6: Final answer
    x = 299,596.75

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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.