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Finding the Fourth Proportional to 309,853.28, 464,731.32 and 85,230.56

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Solution

The fourth proportional to 309,853.28, 464,731.32 and 85,230.56 is: 127,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,853.28 : 464,731.32 = 85,230.56 : x
  2. Step 2: Convert to fraction form
    309,853.28/464,731.32 = 85,230.56/x
  3. Step 3: Cross multiply
    309,853.28x = 464,731.32 × 85,230.56
  4. Step 4: Simplify right side
    309,853.28x = 39,609,310,653.14
  5. Step 5: Solve for x
    x = 39,609,310,653.14/309,853.28
  6. Step 6: Final answer
    x = 127,832.47

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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.