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Finding the Fourth Proportional to 398,451.27, 549,846.74 and 217,159.30

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Solution

The fourth proportional to 398,451.27, 549,846.74 and 217,159.30 is: 299,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,451.27 : 549,846.74 = 217,159.30 : x
  2. Step 2: Convert to fraction form
    398,451.27/549,846.74 = 217,159.30/x
  3. Step 3: Cross multiply
    398,451.27x = 549,846.74 × 217,159.30
  4. Step 4: Simplify right side
    398,451.27x = 119,404,335,560.61
  5. Step 5: Solve for x
    x = 119,404,335,560.61/398,451.27
  6. Step 6: Final answer
    x = 299,671.12

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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.