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Finding the Fourth Proportional to 307,813.80, 461,720.70 and 284,194.20

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Solution

The fourth proportional to 307,813.80, 461,720.70 and 284,194.20 is: 426,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.80 : 461,720.70 = 284,194.20 : x
  2. Step 2: Convert to fraction form
    307,813.80/461,720.70 = 284,194.20/x
  3. Step 3: Cross multiply
    307,813.80x = 461,720.70 × 284,194.20
  4. Step 4: Simplify right side
    307,813.80x = 131,218,344,959.94
  5. Step 5: Solve for x
    x = 131,218,344,959.94/307,813.80
  6. Step 6: Final answer
    x = 426,291.30

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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.