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Finding the Fourth Proportional to 342,040.32, 512,593.92 and 208,967.04

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Solution

The fourth proportional to 342,040.32, 512,593.92 and 208,967.04 is: 313,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,040.32 : 512,593.92 = 208,967.04 : x
  2. Step 2: Convert to fraction form
    342,040.32/512,593.92 = 208,967.04/x
  3. Step 3: Cross multiply
    342,040.32x = 512,593.92 × 208,967.04
  4. Step 4: Simplify right side
    342,040.32x = 107,115,234,184.40
  5. Step 5: Solve for x
    x = 107,115,234,184.40/342,040.32
  6. Step 6: Final answer
    x = 313,165.52

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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.