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Finding the Fourth Proportional to 398,714.86, 550,239.80 and 217,436.72

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Solution

The fourth proportional to 398,714.86, 550,239.80 and 217,436.72 is: 300,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,714.86 : 550,239.80 = 217,436.72 : x
  2. Step 2: Convert to fraction form
    398,714.86/550,239.80 = 217,436.72/x
  3. Step 3: Cross multiply
    398,714.86x = 550,239.80 × 217,436.72
  4. Step 4: Simplify right side
    398,714.86x = 119,642,337,613.87
  5. Step 5: Solve for x
    x = 119,642,337,613.87/398,714.86
  6. Step 6: Final answer
    x = 300,069.93

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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.