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Finding the Fourth Proportional to 342,865.20, 514,643.40 and 165,514.80

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Solution

The fourth proportional to 342,865.20, 514,643.40 and 165,514.80 is: 248,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,865.20 : 514,643.40 = 165,514.80 : x
  2. Step 2: Convert to fraction form
    342,865.20/514,643.40 = 165,514.80/x
  3. Step 3: Cross multiply
    342,865.20x = 514,643.40 × 165,514.80
  4. Step 4: Simplify right side
    342,865.20x = 85,181,099,422.32
  5. Step 5: Solve for x
    x = 85,181,099,422.32/342,865.20
  6. Step 6: Final answer
    x = 248,439.03

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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.