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Finding the Fourth Proportional to 309,729.78, 464,763.94 and 120,197.61

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Solution

The fourth proportional to 309,729.78, 464,763.94 and 120,197.61 is: 180,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,729.78 : 464,763.94 = 120,197.61 : x
  2. Step 2: Convert to fraction form
    309,729.78/464,763.94 = 120,197.61/x
  3. Step 3: Cross multiply
    309,729.78x = 464,763.94 × 120,197.61
  4. Step 4: Simplify right side
    309,729.78x = 55,863,514,501.69
  5. Step 5: Solve for x
    x = 55,863,514,501.69/309,729.78
  6. Step 6: Final answer
    x = 180,362.10

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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.