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Finding the Fourth Proportional to 309,026.80, 463,540.20 and 143,138.80

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Solution

The fourth proportional to 309,026.80, 463,540.20 and 143,138.80 is: 214,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,026.80 : 463,540.20 = 143,138.80 : x
  2. Step 2: Convert to fraction form
    309,026.80/463,540.20 = 143,138.80/x
  3. Step 3: Cross multiply
    309,026.80x = 463,540.20 × 143,138.80
  4. Step 4: Simplify right side
    309,026.80x = 66,350,587,979.76
  5. Step 5: Solve for x
    x = 66,350,587,979.76/309,026.80
  6. Step 6: Final answer
    x = 214,708.20

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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.