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Finding the Fourth Proportional to 315,189.14, 472,786.92 and 90,549

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Solution

The fourth proportional to 315,189.14, 472,786.92 and 90,549 is: 135,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,189.14 : 472,786.92 = 90,549 : x
  2. Step 2: Convert to fraction form
    315,189.14/472,786.92 = 90,549/x
  3. Step 3: Cross multiply
    315,189.14x = 472,786.92 × 90,549
  4. Step 4: Simplify right side
    315,189.14x = 42,810,382,819.08
  5. Step 5: Solve for x
    x = 42,810,382,819.08/315,189.14
  6. Step 6: Final answer
    x = 135,824.42

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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.