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Finding the Fourth Proportional to 613,446.12, 919,857.96 and 280,737

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Solution

The fourth proportional to 613,446.12, 919,857.96 and 280,737 is: 420,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,446.12 : 919,857.96 = 280,737 : x
  2. Step 2: Convert to fraction form
    613,446.12/919,857.96 = 280,737/x
  3. Step 3: Cross multiply
    613,446.12x = 919,857.96 × 280,737
  4. Step 4: Simplify right side
    613,446.12x = 258,238,164,116.52
  5. Step 5: Solve for x
    x = 258,238,164,116.52/613,446.12
  6. Step 6: Final answer
    x = 420,963.07

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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.