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Finding the Fourth Proportional to 321,263.68, 443,338.68 and 178,023.28

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Solution

The fourth proportional to 321,263.68, 443,338.68 and 178,023.28 is: 245,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,263.68 : 443,338.68 = 178,023.28 : x
  2. Step 2: Convert to fraction form
    321,263.68/443,338.68 = 178,023.28/x
  3. Step 3: Cross multiply
    321,263.68x = 443,338.68 × 178,023.28
  4. Step 4: Simplify right side
    321,263.68x = 78,924,605,964.47
  5. Step 5: Solve for x
    x = 78,924,605,964.47/321,263.68
  6. Step 6: Final answer
    x = 245,669.25

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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.