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Finding the Fourth Proportional to 398,383.85, 549,769.78 and 217,095.86

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Solution

The fourth proportional to 398,383.85, 549,769.78 and 217,095.86 is: 299,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,383.85 : 549,769.78 = 217,095.86 : x
  2. Step 2: Convert to fraction form
    398,383.85/549,769.78 = 217,095.86/x
  3. Step 3: Cross multiply
    398,383.85x = 549,769.78 × 217,095.86
  4. Step 4: Simplify right side
    398,383.85x = 119,352,744,836.91
  5. Step 5: Solve for x
    x = 119,352,744,836.91/398,383.85
  6. Step 6: Final answer
    x = 299,592.33

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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.