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Finding the Fourth Proportional to 365,874.12, 548,808.10 and 285,979.29

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Solution

The fourth proportional to 365,874.12, 548,808.10 and 285,979.29 is: 428,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,874.12 : 548,808.10 = 285,979.29 : x
  2. Step 2: Convert to fraction form
    365,874.12/548,808.10 = 285,979.29/x
  3. Step 3: Cross multiply
    365,874.12x = 548,808.10 × 285,979.29
  4. Step 4: Simplify right side
    365,874.12x = 156,947,751,098.32
  5. Step 5: Solve for x
    x = 156,947,751,098.32/365,874.12
  6. Step 6: Final answer
    x = 428,966.53

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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.