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Finding the Fourth Proportional to 398,615.83, 550,082.42 and 217,329.32

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Solution

The fourth proportional to 398,615.83, 550,082.42 and 217,329.32 is: 299,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,615.83 : 550,082.42 = 217,329.32 : x
  2. Step 2: Convert to fraction form
    398,615.83/550,082.42 = 217,329.32/x
  3. Step 3: Cross multiply
    398,615.83x = 550,082.42 × 217,329.32
  4. Step 4: Simplify right side
    398,615.83x = 119,549,037,195.91
  5. Step 5: Solve for x
    x = 119,549,037,195.91/398,615.83
  6. Step 6: Final answer
    x = 299,910.41

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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.