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Finding the Fourth Proportional to 398,613.82, 550,079.66 and 217,327.31

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Solution

The fourth proportional to 398,613.82, 550,079.66 and 217,327.31 is: 299,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,613.82 : 550,079.66 = 217,327.31 : x
  2. Step 2: Convert to fraction form
    398,613.82/550,079.66 = 217,327.31/x
  3. Step 3: Cross multiply
    398,613.82x = 550,079.66 × 217,327.31
  4. Step 4: Simplify right side
    398,613.82x = 119,547,335,743.43
  5. Step 5: Solve for x
    x = 119,547,335,743.43/398,613.82
  6. Step 6: Final answer
    x = 299,907.65

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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.