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Finding the Fourth Proportional to 279,881.80, 419,822.70 and 256,262.20

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Solution

The fourth proportional to 279,881.80, 419,822.70 and 256,262.20 is: 384,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,881.80 : 419,822.70 = 256,262.20 : x
  2. Step 2: Convert to fraction form
    279,881.80/419,822.70 = 256,262.20/x
  3. Step 3: Cross multiply
    279,881.80x = 419,822.70 × 256,262.20
  4. Step 4: Simplify right side
    279,881.80x = 107,584,688,711.94
  5. Step 5: Solve for x
    x = 107,584,688,711.94/279,881.80
  6. Step 6: Final answer
    x = 384,393.30

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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.