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Finding the Fourth Proportional to 646,234.64, 969,277.80 and 172,956.92

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Solution

The fourth proportional to 646,234.64, 969,277.80 and 172,956.92 is: 259,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,234.64 : 969,277.80 = 172,956.92 : x
  2. Step 2: Convert to fraction form
    646,234.64/969,277.80 = 172,956.92/x
  3. Step 3: Cross multiply
    646,234.64x = 969,277.80 × 172,956.92
  4. Step 4: Simplify right side
    646,234.64x = 167,643,302,912.38
  5. Step 5: Solve for x
    x = 167,643,302,912.38/646,234.64
  6. Step 6: Final answer
    x = 259,415.53

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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.