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Finding the Fourth Proportional to 398,822.83, 550,377.22 and 217,538.65

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Solution

The fourth proportional to 398,822.83, 550,377.22 and 217,538.65 is: 300,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,822.83 : 550,377.22 = 217,538.65 : x
  2. Step 2: Convert to fraction form
    398,822.83/550,377.22 = 217,538.65/x
  3. Step 3: Cross multiply
    398,822.83x = 550,377.22 × 217,538.65
  4. Step 4: Simplify right side
    398,822.83x = 119,728,316,341.86
  5. Step 5: Solve for x
    x = 119,728,316,341.86/398,822.83
  6. Step 6: Final answer
    x = 300,204.27

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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.