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Finding the Fourth Proportional to 321,304.32, 443,402.10 and 178,073.64

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Solution

The fourth proportional to 321,304.32, 443,402.10 and 178,073.64 is: 245,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,304.32 : 443,402.10 = 178,073.64 : x
  2. Step 2: Convert to fraction form
    321,304.32/443,402.10 = 178,073.64/x
  3. Step 3: Cross multiply
    321,304.32x = 443,402.10 × 178,073.64
  4. Step 4: Simplify right side
    321,304.32x = 78,958,225,930.64
  5. Step 5: Solve for x
    x = 78,958,225,930.64/321,304.32
  6. Step 6: Final answer
    x = 245,742.81

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1.5x scale

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.