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Finding the Fourth Proportional to 230,799, 318,464.14 and 154,195.28

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Solution

The fourth proportional to 230,799, 318,464.14 and 154,195.28 is: 212,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,799 : 318,464.14 = 154,195.28 : x
  2. Step 2: Convert to fraction form
    230,799/318,464.14 = 154,195.28/x
  3. Step 3: Cross multiply
    230,799x = 318,464.14 × 154,195.28
  4. Step 4: Simplify right side
    230,799x = 49,105,667,237.26
  5. Step 5: Solve for x
    x = 49,105,667,237.26/230,799
  6. Step 6: Final answer
    x = 212,763.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.