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Finding the Fourth Proportional to 295,338, 443,002.84 and 137,478.16

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Solution

The fourth proportional to 295,338, 443,002.84 and 137,478.16 is: 206,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,338 : 443,002.84 = 137,478.16 : x
  2. Step 2: Convert to fraction form
    295,338/443,002.84 = 137,478.16/x
  3. Step 3: Cross multiply
    295,338x = 443,002.84 × 137,478.16
  4. Step 4: Simplify right side
    295,338x = 60,903,215,317.97
  5. Step 5: Solve for x
    x = 60,903,215,317.97/295,338
  6. Step 6: Final answer
    x = 206,215.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.