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Finding the Fourth Proportional to 342,940.32, 514,410.54 and 143,151.72

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Solution

The fourth proportional to 342,940.32, 514,410.54 and 143,151.72 is: 214,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,940.32 : 514,410.54 = 143,151.72 : x
  2. Step 2: Convert to fraction form
    342,940.32/514,410.54 = 143,151.72/x
  3. Step 3: Cross multiply
    342,940.32x = 514,410.54 × 143,151.72
  4. Step 4: Simplify right side
    342,940.32x = 73,638,753,587.13
  5. Step 5: Solve for x
    x = 73,638,753,587.13/342,940.32
  6. Step 6: Final answer
    x = 214,727.61

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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.