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Finding the Fourth Proportional to 398,287.31, 549,633.44 and 216,998.68

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Solution

The fourth proportional to 398,287.31, 549,633.44 and 216,998.68 is: 299,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,287.31 : 549,633.44 = 216,998.68 : x
  2. Step 2: Convert to fraction form
    398,287.31/549,633.44 = 216,998.68/x
  3. Step 3: Cross multiply
    398,287.31x = 549,633.44 × 216,998.68
  4. Step 4: Simplify right side
    398,287.31x = 119,269,730,963.86
  5. Step 5: Solve for x
    x = 119,269,730,963.86/398,287.31
  6. Step 6: Final answer
    x = 299,456.52

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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.