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Finding the Fourth Proportional to 309,832, 464,718.82 and 99,471.76

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Solution

The fourth proportional to 309,832, 464,718.82 and 99,471.76 is: 149,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,832 : 464,718.82 = 99,471.76 : x
  2. Step 2: Convert to fraction form
    309,832/464,718.82 = 99,471.76/x
  3. Step 3: Cross multiply
    309,832x = 464,718.82 × 99,471.76
  4. Step 4: Simplify right side
    309,832x = 46,226,398,930.52
  5. Step 5: Solve for x
    x = 46,226,398,930.52/309,832
  6. Step 6: Final answer
    x = 149,198.27

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1.5x scale

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.