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Finding the Fourth Proportional to 285,616.40, 428,424.60 and 219,261.20

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Solution

The fourth proportional to 285,616.40, 428,424.60 and 219,261.20 is: 328,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,616.40 : 428,424.60 = 219,261.20 : x
  2. Step 2: Convert to fraction form
    285,616.40/428,424.60 = 219,261.20/x
  3. Step 3: Cross multiply
    285,616.40x = 428,424.60 × 219,261.20
  4. Step 4: Simplify right side
    285,616.40x = 93,936,891,905.52
  5. Step 5: Solve for x
    x = 93,936,891,905.52/285,616.40
  6. Step 6: Final answer
    x = 328,891.80

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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.