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Finding the Fourth Proportional to 342,997.92, 514,497.09 and 143,209.44

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Solution

The fourth proportional to 342,997.92, 514,497.09 and 143,209.44 is: 214,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,997.92 : 514,497.09 = 143,209.44 : x
  2. Step 2: Convert to fraction form
    342,997.92/514,497.09 = 143,209.44/x
  3. Step 3: Cross multiply
    342,997.92x = 514,497.09 × 143,209.44
  4. Step 4: Simplify right side
    342,997.92x = 73,680,840,140.53
  5. Step 5: Solve for x
    x = 73,680,840,140.53/342,997.92
  6. Step 6: Final answer
    x = 214,814.25

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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.