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Finding the Fourth Proportional to 342,976.56, 514,465.05 and 143,188.04

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Solution

The fourth proportional to 342,976.56, 514,465.05 and 143,188.04 is: 214,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,976.56 : 514,465.05 = 143,188.04 : x
  2. Step 2: Convert to fraction form
    342,976.56/514,465.05 = 143,188.04/x
  3. Step 3: Cross multiply
    342,976.56x = 514,465.05 × 143,188.04
  4. Step 4: Simplify right side
    342,976.56x = 73,665,239,585.68
  5. Step 5: Solve for x
    x = 73,665,239,585.68/342,976.56
  6. Step 6: Final answer
    x = 214,782.14

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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.