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Finding the Fourth Proportional to 256,504.86, 384,737.85 and 90,176.22

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Solution

The fourth proportional to 256,504.86, 384,737.85 and 90,176.22 is: 135,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,504.86 : 384,737.85 = 90,176.22 : x
  2. Step 2: Convert to fraction form
    256,504.86/384,737.85 = 90,176.22/x
  3. Step 3: Cross multiply
    256,504.86x = 384,737.85 × 90,176.22
  4. Step 4: Simplify right side
    256,504.86x = 34,694,205,003.93
  5. Step 5: Solve for x
    x = 34,694,205,003.93/256,504.86
  6. Step 6: Final answer
    x = 135,257.50

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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.