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Finding the Fourth Proportional to 272,832.30, 409,248.45 and 253,149.30

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Solution

The fourth proportional to 272,832.30, 409,248.45 and 253,149.30 is: 379,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,832.30 : 409,248.45 = 253,149.30 : x
  2. Step 2: Convert to fraction form
    272,832.30/409,248.45 = 253,149.30/x
  3. Step 3: Cross multiply
    272,832.30x = 409,248.45 × 253,149.30
  4. Step 4: Simplify right side
    272,832.30x = 103,600,958,643.59
  5. Step 5: Solve for x
    x = 103,600,958,643.59/272,832.30
  6. Step 6: Final answer
    x = 379,723.95

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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.