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Finding the Fourth Proportional to 309,519.40, 464,242.78 and 84,902.54

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Solution

The fourth proportional to 309,519.40, 464,242.78 and 84,902.54 is: 127,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,519.40 : 464,242.78 = 84,902.54 : x
  2. Step 2: Convert to fraction form
    309,519.40/464,242.78 = 84,902.54/x
  3. Step 3: Cross multiply
    309,519.40x = 464,242.78 × 84,902.54
  4. Step 4: Simplify right side
    309,519.40x = 39,415,392,594.20
  5. Step 5: Solve for x
    x = 39,415,392,594.20/309,519.40
  6. Step 6: Final answer
    x = 127,343.85

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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.