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Finding the Fourth Proportional to 316,678.64, 437,049.48 and 187,694

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Solution

The fourth proportional to 316,678.64, 437,049.48 and 187,694 is: 259,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,678.64 : 437,049.48 = 187,694 : x
  2. Step 2: Convert to fraction form
    316,678.64/437,049.48 = 187,694/x
  3. Step 3: Cross multiply
    316,678.64x = 437,049.48 × 187,694
  4. Step 4: Simplify right side
    316,678.64x = 82,031,565,099.12
  5. Step 5: Solve for x
    x = 82,031,565,099.12/316,678.64
  6. Step 6: Final answer
    x = 259,037.25

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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.