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Finding the Fourth Proportional to 256,235.92, 384,424.35 and 123,227.44

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Solution

The fourth proportional to 256,235.92, 384,424.35 and 123,227.44 is: 184,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,235.92 : 384,424.35 = 123,227.44 : x
  2. Step 2: Convert to fraction form
    256,235.92/384,424.35 = 123,227.44/x
  3. Step 3: Cross multiply
    256,235.92x = 384,424.35 × 123,227.44
  4. Step 4: Simplify right side
    256,235.92x = 47,371,628,524.16
  5. Step 5: Solve for x
    x = 47,371,628,524.16/256,235.92
  6. Step 6: Final answer
    x = 184,875.05

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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.