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Finding the Fourth Proportional to 534,708.30, 801,414.45 and 309,636.30

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Solution

The fourth proportional to 534,708.30, 801,414.45 and 309,636.30 is: 464,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,708.30 : 801,414.45 = 309,636.30 : x
  2. Step 2: Convert to fraction form
    534,708.30/801,414.45 = 309,636.30/x
  3. Step 3: Cross multiply
    534,708.30x = 801,414.45 × 309,636.30
  4. Step 4: Simplify right side
    534,708.30x = 248,147,005,064.54
  5. Step 5: Solve for x
    x = 248,147,005,064.54/534,708.30
  6. Step 6: Final answer
    x = 464,079.21

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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.