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Finding the Fourth Proportional to 384,872.30, 577,999.65 and 279,809.90

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Solution

The fourth proportional to 384,872.30, 577,999.65 and 279,809.90 is: 420,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,872.30 : 577,999.65 = 279,809.90 : x
  2. Step 2: Convert to fraction form
    384,872.30/577,999.65 = 279,809.90/x
  3. Step 3: Cross multiply
    384,872.30x = 577,999.65 × 279,809.90
  4. Step 4: Simplify right side
    384,872.30x = 161,730,024,266.54
  5. Step 5: Solve for x
    x = 161,730,024,266.54/384,872.30
  6. Step 6: Final answer
    x = 420,217.37

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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.