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Finding the Fourth Proportional to 295,141.60, 442,942.80 and 137,389.60

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Solution

The fourth proportional to 295,141.60, 442,942.80 and 137,389.60 is: 206,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,141.60 : 442,942.80 = 137,389.60 : x
  2. Step 2: Convert to fraction form
    295,141.60/442,942.80 = 137,389.60/x
  3. Step 3: Cross multiply
    295,141.60x = 442,942.80 × 137,389.60
  4. Step 4: Simplify right side
    295,141.60x = 60,855,734,114.88
  5. Step 5: Solve for x
    x = 60,855,734,114.88/295,141.60
  6. Step 6: Final answer
    x = 206,191.65

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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.