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Finding the Fourth Proportional to 442,896.40, 664,344.60 and 285,432.40

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Solution

The fourth proportional to 442,896.40, 664,344.60 and 285,432.40 is: 428,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.40 : 664,344.60 = 285,432.40 : x
  2. Step 2: Convert to fraction form
    442,896.40/664,344.60 = 285,432.40/x
  3. Step 3: Cross multiply
    442,896.40x = 664,344.60 × 285,432.40
  4. Step 4: Simplify right side
    442,896.40x = 189,625,473,605.04
  5. Step 5: Solve for x
    x = 189,625,473,605.04/442,896.40
  6. Step 6: Final answer
    x = 428,148.60

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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.