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Finding the Fourth Proportional to 309,722.52, 464,578.32 and 85,082.10

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Solution

The fourth proportional to 309,722.52, 464,578.32 and 85,082.10 is: 127,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,722.52 : 464,578.32 = 85,082.10 : x
  2. Step 2: Convert to fraction form
    309,722.52/464,578.32 = 85,082.10/x
  3. Step 3: Cross multiply
    309,722.52x = 464,578.32 × 85,082.10
  4. Step 4: Simplify right side
    309,722.52x = 39,527,299,080.07
  5. Step 5: Solve for x
    x = 39,527,299,080.07/309,722.52
  6. Step 6: Final answer
    x = 127,621.65

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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.