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Finding the Fourth Proportional to 295,287.20, 442,930.80 and 279,735.20

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Solution

The fourth proportional to 295,287.20, 442,930.80 and 279,735.20 is: 419,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,287.20 : 442,930.80 = 279,735.20 : x
  2. Step 2: Convert to fraction form
    295,287.20/442,930.80 = 279,735.20/x
  3. Step 3: Cross multiply
    295,287.20x = 442,930.80 × 279,735.20
  4. Step 4: Simplify right side
    295,287.20x = 123,903,335,924.16
  5. Step 5: Solve for x
    x = 123,903,335,924.16/295,287.20
  6. Step 6: Final answer
    x = 419,602.80

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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.