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Finding the Fourth Proportional to 347,272.80, 519,872.40 and 206,959.20

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Solution

The fourth proportional to 347,272.80, 519,872.40 and 206,959.20 is: 309,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,272.80 : 519,872.40 = 206,959.20 : x
  2. Step 2: Convert to fraction form
    347,272.80/519,872.40 = 206,959.20/x
  3. Step 3: Cross multiply
    347,272.80x = 519,872.40 × 206,959.20
  4. Step 4: Simplify right side
    347,272.80x = 107,592,376,006.08
  5. Step 5: Solve for x
    x = 107,592,376,006.08/347,272.80
  6. Step 6: Final answer
    x = 309,820.91

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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.