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Finding the Fourth Proportional to 398,615.33, 550,081.73 and 217,328.82

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Solution

The fourth proportional to 398,615.33, 550,081.73 and 217,328.82 is: 299,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,615.33 : 550,081.73 = 217,328.82 : x
  2. Step 2: Convert to fraction form
    398,615.33/550,081.73 = 217,328.82/x
  3. Step 3: Cross multiply
    398,615.33x = 550,081.73 × 217,328.82
  4. Step 4: Simplify right side
    398,615.33x = 119,548,612,197.82
  5. Step 5: Solve for x
    x = 119,548,612,197.82/398,615.33
  6. Step 6: Final answer
    x = 299,909.72

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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.