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Finding the Fourth Proportional to 285,459.08, 428,054.52 and 165,550.10

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Solution

The fourth proportional to 285,459.08, 428,054.52 and 165,550.10 is: 248,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,459.08 : 428,054.52 = 165,550.10 : x
  2. Step 2: Convert to fraction form
    285,459.08/428,054.52 = 165,550.10/x
  3. Step 3: Cross multiply
    285,459.08x = 428,054.52 × 165,550.10
  4. Step 4: Simplify right side
    285,459.08x = 70,864,469,286.87
  5. Step 5: Solve for x
    x = 70,864,469,286.87/285,459.08
  6. Step 6: Final answer
    x = 248,247.38

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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.