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Finding the Fourth Proportional to 285,053.52, 427,449.40 and 82,603.60

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Solution

The fourth proportional to 285,053.52, 427,449.40 and 82,603.60 is: 123,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,053.52 : 427,449.40 = 82,603.60 : x
  2. Step 2: Convert to fraction form
    285,053.52/427,449.40 = 82,603.60/x
  3. Step 3: Cross multiply
    285,053.52x = 427,449.40 × 82,603.60
  4. Step 4: Simplify right side
    285,053.52x = 35,308,859,257.84
  5. Step 5: Solve for x
    x = 35,308,859,257.84/285,053.52
  6. Step 6: Final answer
    x = 123,867.47

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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.