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Finding the Fourth Proportional to 256,203.78, 384,305.67 and 123,000.90

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Solution

The fourth proportional to 256,203.78, 384,305.67 and 123,000.90 is: 184,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,203.78 : 384,305.67 = 123,000.90 : x
  2. Step 2: Convert to fraction form
    256,203.78/384,305.67 = 123,000.90/x
  3. Step 3: Cross multiply
    256,203.78x = 384,305.67 × 123,000.90
  4. Step 4: Simplify right side
    256,203.78x = 47,269,943,285.10
  5. Step 5: Solve for x
    x = 47,269,943,285.10/256,203.78
  6. Step 6: Final answer
    x = 184,501.35

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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.