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Finding the Fourth Proportional to 278,887.80, 418,331.70 and 259,204.80

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Solution

The fourth proportional to 278,887.80, 418,331.70 and 259,204.80 is: 388,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,887.80 : 418,331.70 = 259,204.80 : x
  2. Step 2: Convert to fraction form
    278,887.80/418,331.70 = 259,204.80/x
  3. Step 3: Cross multiply
    278,887.80x = 418,331.70 × 259,204.80
  4. Step 4: Simplify right side
    278,887.80x = 108,433,584,632.16
  5. Step 5: Solve for x
    x = 108,433,584,632.16/278,887.80
  6. Step 6: Final answer
    x = 388,807.20

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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.