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Finding the Fourth Proportional to 309,972.80, 465,046.68 and 120,491.12

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Solution

The fourth proportional to 309,972.80, 465,046.68 and 120,491.12 is: 180,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,972.80 : 465,046.68 = 120,491.12 : x
  2. Step 2: Convert to fraction form
    309,972.80/465,046.68 = 120,491.12/x
  3. Step 3: Cross multiply
    309,972.80x = 465,046.68 × 120,491.12
  4. Step 4: Simplify right side
    309,972.80x = 56,033,995,325.48
  5. Step 5: Solve for x
    x = 56,033,995,325.48/309,972.80
  6. Step 6: Final answer
    x = 180,770.68

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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.