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Finding the Fourth Proportional to 277,932.20, 417,287.10 and 172,956.20

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Solution

The fourth proportional to 277,932.20, 417,287.10 and 172,956.20 is: 259,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,932.20 : 417,287.10 = 172,956.20 : x
  2. Step 2: Convert to fraction form
    277,932.20/417,287.10 = 172,956.20/x
  3. Step 3: Cross multiply
    277,932.20x = 417,287.10 × 172,956.20
  4. Step 4: Simplify right side
    277,932.20x = 72,172,391,125.02
  5. Step 5: Solve for x
    x = 72,172,391,125.02/277,932.20
  6. Step 6: Final answer
    x = 259,676.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.