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Finding the Fourth Proportional to 309,493.14, 464,084.19 and 143,397.78

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Solution

The fourth proportional to 309,493.14, 464,084.19 and 143,397.78 is: 215,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,493.14 : 464,084.19 = 143,397.78 : x
  2. Step 2: Convert to fraction form
    309,493.14/464,084.19 = 143,397.78/x
  3. Step 3: Cross multiply
    309,493.14x = 464,084.19 × 143,397.78
  4. Step 4: Simplify right side
    309,493.14x = 66,548,642,579.10
  5. Step 5: Solve for x
    x = 66,548,642,579.10/309,493.14
  6. Step 6: Final answer
    x = 215,024.61

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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.