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Finding the Fourth Proportional to 309,939.45, 464,728.52 and 120,178.13

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Solution

The fourth proportional to 309,939.45, 464,728.52 and 120,178.13 is: 180,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,939.45 : 464,728.52 = 120,178.13 : x
  2. Step 2: Convert to fraction form
    309,939.45/464,728.52 = 120,178.13/x
  3. Step 3: Cross multiply
    309,939.45x = 464,728.52 × 120,178.13
  4. Step 4: Simplify right side
    309,939.45x = 55,850,201,566.73
  5. Step 5: Solve for x
    x = 55,850,201,566.73/309,939.45
  6. Step 6: Final answer
    x = 180,197.14

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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.