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Finding the Fourth Proportional to 307,891.80, 461,837.70 and 284,272.20

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Solution

The fourth proportional to 307,891.80, 461,837.70 and 284,272.20 is: 426,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,891.80 : 461,837.70 = 284,272.20 : x
  2. Step 2: Convert to fraction form
    307,891.80/461,837.70 = 284,272.20/x
  3. Step 3: Cross multiply
    307,891.80x = 461,837.70 × 284,272.20
  4. Step 4: Simplify right side
    307,891.80x = 131,287,619,021.94
  5. Step 5: Solve for x
    x = 131,287,619,021.94/307,891.80
  6. Step 6: Final answer
    x = 426,408.30

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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.