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Finding the Fourth Proportional to 295,218.80, 442,828.20 and 278,889.20

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Solution

The fourth proportional to 295,218.80, 442,828.20 and 278,889.20 is: 418,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,218.80 : 442,828.20 = 278,889.20 : x
  2. Step 2: Convert to fraction form
    295,218.80/442,828.20 = 278,889.20/x
  3. Step 3: Cross multiply
    295,218.80x = 442,828.20 × 278,889.20
  4. Step 4: Simplify right side
    295,218.80x = 123,500,002,435.44
  5. Step 5: Solve for x
    x = 123,500,002,435.44/295,218.80
  6. Step 6: Final answer
    x = 418,333.80

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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.