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Finding the Fourth Proportional to 342,719.87, 514,127.19 and 142,993.92

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Solution

The fourth proportional to 342,719.87, 514,127.19 and 142,993.92 is: 214,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,719.87 : 514,127.19 = 142,993.92 : x
  2. Step 2: Convert to fraction form
    342,719.87/514,127.19 = 142,993.92/x
  3. Step 3: Cross multiply
    342,719.87x = 514,127.19 × 142,993.92
  4. Step 4: Simplify right side
    342,719.87x = 73,517,062,276.68
  5. Step 5: Solve for x
    x = 73,517,062,276.68/342,719.87
  6. Step 6: Final answer
    x = 214,510.65

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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.