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Finding the Fourth Proportional to 397,002.43, 547,866.70 and 215,714.37

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Solution

The fourth proportional to 397,002.43, 547,866.70 and 215,714.37 is: 297,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,002.43 : 547,866.70 = 215,714.37 : x
  2. Step 2: Convert to fraction form
    397,002.43/547,866.70 = 215,714.37/x
  3. Step 3: Cross multiply
    397,002.43x = 547,866.70 × 215,714.37
  4. Step 4: Simplify right side
    397,002.43x = 118,182,719,541.73
  5. Step 5: Solve for x
    x = 118,182,719,541.73/397,002.43
  6. Step 6: Final answer
    x = 297,687.65

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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.