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Finding the Fourth Proportional to 398,265.13, 549,604.22 and 216,976.49

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Solution

The fourth proportional to 398,265.13, 549,604.22 and 216,976.49 is: 299,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,265.13 : 549,604.22 = 216,976.49 : x
  2. Step 2: Convert to fraction form
    398,265.13/549,604.22 = 216,976.49/x
  3. Step 3: Cross multiply
    398,265.13x = 549,604.22 × 216,976.49
  4. Step 4: Simplify right side
    398,265.13x = 119,251,193,459.91
  5. Step 5: Solve for x
    x = 119,251,193,459.91/398,265.13
  6. Step 6: Final answer
    x = 299,426.65

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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.