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Finding the Fourth Proportional to 309,932.71, 464,718.44 and 120,171.40

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Solution

The fourth proportional to 309,932.71, 464,718.44 and 120,171.40 is: 180,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,932.71 : 464,718.44 = 120,171.40 : x
  2. Step 2: Convert to fraction form
    309,932.71/464,718.44 = 120,171.40/x
  3. Step 3: Cross multiply
    309,932.71x = 464,718.44 × 120,171.40
  4. Step 4: Simplify right side
    309,932.71x = 55,845,862,616.17
  5. Step 5: Solve for x
    x = 55,845,862,616.17/309,932.71
  6. Step 6: Final answer
    x = 180,187.06

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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.