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Finding the Fourth Proportional to 295,079.20, 442,762.80 and 137,226.40

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Solution

The fourth proportional to 295,079.20, 442,762.80 and 137,226.40 is: 205,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,079.20 : 442,762.80 = 137,226.40 : x
  2. Step 2: Convert to fraction form
    295,079.20/442,762.80 = 137,226.40/x
  3. Step 3: Cross multiply
    295,079.20x = 442,762.80 × 137,226.40
  4. Step 4: Simplify right side
    295,079.20x = 60,758,745,097.92
  5. Step 5: Solve for x
    x = 60,758,745,097.92/295,079.20
  6. Step 6: Final answer
    x = 205,906.57

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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.