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Finding the Fourth Proportional to 321,385.47, 443,516.45 and 176,204.94

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Solution

The fourth proportional to 321,385.47, 443,516.45 and 176,204.94 is: 243,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,385.47 : 443,516.45 = 176,204.94 : x
  2. Step 2: Convert to fraction form
    321,385.47/443,516.45 = 176,204.94/x
  3. Step 3: Cross multiply
    321,385.47x = 443,516.45 × 176,204.94
  4. Step 4: Simplify right side
    321,385.47x = 78,149,788,580.24
  5. Step 5: Solve for x
    x = 78,149,788,580.24/321,385.47
  6. Step 6: Final answer
    x = 243,165.28

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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.