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Finding the Fourth Proportional to 321,372.25, 443,492.93 and 176,177.78

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Solution

The fourth proportional to 321,372.25, 443,492.93 and 176,177.78 is: 243,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,372.25 : 443,492.93 = 176,177.78 : x
  2. Step 2: Convert to fraction form
    321,372.25/443,492.93 = 176,177.78/x
  3. Step 3: Cross multiply
    321,372.25x = 443,492.93 × 176,177.78
  4. Step 4: Simplify right side
    321,372.25x = 78,133,598,076.08
  5. Step 5: Solve for x
    x = 78,133,598,076.08/321,372.25
  6. Step 6: Final answer
    x = 243,124.91

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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.