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Finding the Fourth Proportional to 295,270.78, 442,976.40 and 95,591.20

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Solution

The fourth proportional to 295,270.78, 442,976.40 and 95,591.20 is: 143,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.78 : 442,976.40 = 95,591.20 : x
  2. Step 2: Convert to fraction form
    295,270.78/442,976.40 = 95,591.20/x
  3. Step 3: Cross multiply
    295,270.78x = 442,976.40 × 95,591.20
  4. Step 4: Simplify right side
    295,270.78x = 42,344,645,647.68
  5. Step 5: Solve for x
    x = 42,344,645,647.68/295,270.78
  6. Step 6: Final answer
    x = 143,409.54

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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.