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Finding the Fourth Proportional to 321,471.63, 443,607.57 and 176,254.16

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Solution

The fourth proportional to 321,471.63, 443,607.57 and 176,254.16 is: 243,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471.63 : 443,607.57 = 176,254.16 : x
  2. Step 2: Convert to fraction form
    321,471.63/443,607.57 = 176,254.16/x
  3. Step 3: Cross multiply
    321,471.63x = 443,607.57 × 176,254.16
  4. Step 4: Simplify right side
    321,471.63x = 78,187,677,401.95
  5. Step 5: Solve for x
    x = 78,187,677,401.95/321,471.63
  6. Step 6: Final answer
    x = 243,217.97

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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.