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Finding the Fourth Proportional to 280,093.25, 418,353.92 and 253,398.08

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Solution

The fourth proportional to 280,093.25, 418,353.92 and 253,398.08 is: 378,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,093.25 : 418,353.92 = 253,398.08 : x
  2. Step 2: Convert to fraction form
    280,093.25/418,353.92 = 253,398.08/x
  3. Step 3: Cross multiply
    280,093.25x = 418,353.92 × 253,398.08
  4. Step 4: Simplify right side
    280,093.25x = 106,010,080,817.61
  5. Step 5: Solve for x
    x = 106,010,080,817.61/280,093.25
  6. Step 6: Final answer
    x = 378,481.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.