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Finding the Fourth Proportional to 217,514.40, 326,390.48 and 84,399.88

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Solution

The fourth proportional to 217,514.40, 326,390.48 and 84,399.88 is: 126,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,514.40 : 326,390.48 = 84,399.88 : x
  2. Step 2: Convert to fraction form
    217,514.40/326,390.48 = 84,399.88/x
  3. Step 3: Cross multiply
    217,514.40x = 326,390.48 × 84,399.88
  4. Step 4: Simplify right side
    217,514.40x = 27,547,317,345.14
  5. Step 5: Solve for x
    x = 27,547,317,345.14/217,514.40
  6. Step 6: Final answer
    x = 126,645.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.