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Finding the Fourth Proportional to 285,698.10, 428,507.51 and 200,049.26

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Solution

The fourth proportional to 285,698.10, 428,507.51 and 200,049.26 is: 300,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.10 : 428,507.51 = 200,049.26 : x
  2. Step 2: Convert to fraction form
    285,698.10/428,507.51 = 200,049.26/x
  3. Step 3: Cross multiply
    285,698.10x = 428,507.51 × 200,049.26
  4. Step 4: Simplify right side
    285,698.10x = 85,722,607,137.16
  5. Step 5: Solve for x
    x = 85,722,607,137.16/285,698.10
  6. Step 6: Final answer
    x = 300,046.12

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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.