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Finding the Fourth Proportional to 285,753.80, 428,468.70 and 108,266.60

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Solution

The fourth proportional to 285,753.80, 428,468.70 and 108,266.60 is: 162,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,753.80 : 428,468.70 = 108,266.60 : x
  2. Step 2: Convert to fraction form
    285,753.80/428,468.70 = 108,266.60/x
  3. Step 3: Cross multiply
    285,753.80x = 428,468.70 × 108,266.60
  4. Step 4: Simplify right side
    285,753.80x = 46,388,849,355.42
  5. Step 5: Solve for x
    x = 46,388,849,355.42/285,753.80
  6. Step 6: Final answer
    x = 162,338.52

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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.