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Finding the Fourth Proportional to 253,211.92, 379,869 and 112,970.56

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Solution

The fourth proportional to 253,211.92, 379,869 and 112,970.56 is: 169,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,211.92 : 379,869 = 112,970.56 : x
  2. Step 2: Convert to fraction form
    253,211.92/379,869 = 112,970.56/x
  3. Step 3: Cross multiply
    253,211.92x = 379,869 × 112,970.56
  4. Step 4: Simplify right side
    253,211.92x = 42,914,013,656.64
  5. Step 5: Solve for x
    x = 42,914,013,656.64/253,211.92
  6. Step 6: Final answer
    x = 169,478.65

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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.