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Finding the Fourth Proportional to 342,814.20, 514,221.30 and 165,667.20

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Solution

The fourth proportional to 342,814.20, 514,221.30 and 165,667.20 is: 248,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,814.20 : 514,221.30 = 165,667.20 : x
  2. Step 2: Convert to fraction form
    342,814.20/514,221.30 = 165,667.20/x
  3. Step 3: Cross multiply
    342,814.20x = 514,221.30 × 165,667.20
  4. Step 4: Simplify right side
    342,814.20x = 85,189,602,951.36
  5. Step 5: Solve for x
    x = 85,189,602,951.36/342,814.20
  6. Step 6: Final answer
    x = 248,500.80

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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.