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Finding the Fourth Proportional to 315,073.41, 472,680.38 and 90,416.33

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Solution

The fourth proportional to 315,073.41, 472,680.38 and 90,416.33 is: 135,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,073.41 : 472,680.38 = 90,416.33 : x
  2. Step 2: Convert to fraction form
    315,073.41/472,680.38 = 90,416.33/x
  3. Step 3: Cross multiply
    315,073.41x = 472,680.38 × 90,416.33
  4. Step 4: Simplify right side
    315,073.41x = 42,738,027,008.03
  5. Step 5: Solve for x
    x = 42,738,027,008.03/315,073.41
  6. Step 6: Final answer
    x = 135,644.66

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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.