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Finding the Fourth Proportional to 398,645.48, 550,138.02 and 217,358.84

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Solution

The fourth proportional to 398,645.48, 550,138.02 and 217,358.84 is: 299,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,645.48 : 550,138.02 = 217,358.84 : x
  2. Step 2: Convert to fraction form
    398,645.48/550,138.02 = 217,358.84/x
  3. Step 3: Cross multiply
    398,645.48x = 550,138.02 × 217,358.84
  4. Step 4: Simplify right side
    398,645.48x = 119,577,361,867.10
  5. Step 5: Solve for x
    x = 119,577,361,867.10/398,645.48
  6. Step 6: Final answer
    x = 299,959.16

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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.