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Finding the Fourth Proportional to 295,886.40, 442,954.80 and 278,584.80

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Solution

The fourth proportional to 295,886.40, 442,954.80 and 278,584.80 is: 417,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,886.40 : 442,954.80 = 278,584.80 : x
  2. Step 2: Convert to fraction form
    295,886.40/442,954.80 = 278,584.80/x
  3. Step 3: Cross multiply
    295,886.40x = 442,954.80 × 278,584.80
  4. Step 4: Simplify right side
    295,886.40x = 123,400,474,367.04
  5. Step 5: Solve for x
    x = 123,400,474,367.04/295,886.40
  6. Step 6: Final answer
    x = 417,053.55

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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.