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Finding the Fourth Proportional to 295,231,319.20, 442,846,978.80 and 278,509,808.80

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Solution

The fourth proportional to 295,231,319.20, 442,846,978.80 and 278,509,808.80 is: 417,764,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,231,319.20 : 442,846,978.80 = 278,509,808.80 : x
  2. Step 2: Convert to fraction form
    295,231,319.20/442,846,978.80 = 278,509,808.80/x
  3. Step 3: Cross multiply
    295,231,319.20x = 442,846,978.80 × 278,509,808.80
  4. Step 4: Simplify right side
    295,231,319.20x = 123,337,227,393,245,664
  5. Step 5: Solve for x
    x = 123,337,227,393,245,664/295,231,319.20
  6. Step 6: Final answer
    x = 417,764,713.20

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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.