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Finding the Fourth Proportional to 280,422.80, 420,634.12 and 83,430.80

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Solution

The fourth proportional to 280,422.80, 420,634.12 and 83,430.80 is: 125,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422.80 : 420,634.12 = 83,430.80 : x
  2. Step 2: Convert to fraction form
    280,422.80/420,634.12 = 83,430.80/x
  3. Step 3: Cross multiply
    280,422.80x = 420,634.12 × 83,430.80
  4. Step 4: Simplify right side
    280,422.80x = 35,093,841,138.90
  5. Step 5: Solve for x
    x = 35,093,841,138.90/280,422.80
  6. Step 6: Final answer
    x = 125,146.18

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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.