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Finding the Fourth Proportional to 295,816.80, 443,725.20 and 278,320.80

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Solution

The fourth proportional to 295,816.80, 443,725.20 and 278,320.80 is: 417,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,816.80 : 443,725.20 = 278,320.80 : x
  2. Step 2: Convert to fraction form
    295,816.80/443,725.20 = 278,320.80/x
  3. Step 3: Cross multiply
    295,816.80x = 443,725.20 × 278,320.80
  4. Step 4: Simplify right side
    295,816.80x = 123,497,952,644.16
  5. Step 5: Solve for x
    x = 123,497,952,644.16/295,816.80
  6. Step 6: Final answer
    x = 417,481.20

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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.