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Finding the Fourth Proportional to 253,012.47, 379,581 and 178,278.57

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Solution

The fourth proportional to 253,012.47, 379,581 and 178,278.57 is: 267,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,012.47 : 379,581 = 178,278.57 : x
  2. Step 2: Convert to fraction form
    253,012.47/379,581 = 178,278.57/x
  3. Step 3: Cross multiply
    253,012.47x = 379,581 × 178,278.57
  4. Step 4: Simplify right side
    253,012.47x = 67,671,157,879.17
  5. Step 5: Solve for x
    x = 67,671,157,879.17/253,012.47
  6. Step 6: Final answer
    x = 267,461.75

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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.