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Finding the Fourth Proportional to 321,374.25, 443,495.69 and 176,179.78

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Solution

The fourth proportional to 321,374.25, 443,495.69 and 176,179.78 is: 243,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,374.25 : 443,495.69 = 176,179.78 : x
  2. Step 2: Convert to fraction form
    321,374.25/443,495.69 = 176,179.78/x
  3. Step 3: Cross multiply
    321,374.25x = 443,495.69 × 176,179.78
  4. Step 4: Simplify right side
    321,374.25x = 78,134,973,095.15
  5. Step 5: Solve for x
    x = 78,134,973,095.15/321,374.25
  6. Step 6: Final answer
    x = 243,127.67

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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.