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Finding the Fourth Proportional to 342,879.54, 514,070.20 and 143,257.02

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Solution

The fourth proportional to 342,879.54, 514,070.20 and 143,257.02 is: 214,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,879.54 : 514,070.20 = 143,257.02 : x
  2. Step 2: Convert to fraction form
    342,879.54/514,070.20 = 143,257.02/x
  3. Step 3: Cross multiply
    342,879.54x = 514,070.20 × 143,257.02
  4. Step 4: Simplify right side
    342,879.54x = 73,644,164,922.80
  5. Step 5: Solve for x
    x = 73,644,164,922.80/342,879.54
  6. Step 6: Final answer
    x = 214,781.45

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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.