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Finding the Fourth Proportional to 285,762.80, 428,206.80 and 270,016.40

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Solution

The fourth proportional to 285,762.80, 428,206.80 and 270,016.40 is: 404,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,762.80 : 428,206.80 = 270,016.40 : x
  2. Step 2: Convert to fraction form
    285,762.80/428,206.80 = 270,016.40/x
  3. Step 3: Cross multiply
    285,762.80x = 428,206.80 × 270,016.40
  4. Step 4: Simplify right side
    285,762.80x = 115,622,858,591.52
  5. Step 5: Solve for x
    x = 115,622,858,591.52/285,762.80
  6. Step 6: Final answer
    x = 404,611.30

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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.