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Finding the Fourth Proportional to 307,825.80, 461,738.70 and 141,937.80

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Solution

The fourth proportional to 307,825.80, 461,738.70 and 141,937.80 is: 212,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,825.80 : 461,738.70 = 141,937.80 : x
  2. Step 2: Convert to fraction form
    307,825.80/461,738.70 = 141,937.80/x
  3. Step 3: Cross multiply
    307,825.80x = 461,738.70 × 141,937.80
  4. Step 4: Simplify right side
    307,825.80x = 65,538,175,252.86
  5. Step 5: Solve for x
    x = 65,538,175,252.86/307,825.80
  6. Step 6: Final answer
    x = 212,906.70

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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.