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Finding the Fourth Proportional to 286,311.78, 428,612.31 and 173,650.50

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Solution

The fourth proportional to 286,311.78, 428,612.31 and 173,650.50 is: 259,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,311.78 : 428,612.31 = 173,650.50 : x
  2. Step 2: Convert to fraction form
    286,311.78/428,612.31 = 173,650.50/x
  3. Step 3: Cross multiply
    286,311.78x = 428,612.31 × 173,650.50
  4. Step 4: Simplify right side
    286,311.78x = 74,428,741,937.66
  5. Step 5: Solve for x
    x = 74,428,741,937.66/286,311.78
  6. Step 6: Final answer
    x = 259,956.97

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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.