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Finding the Fourth Proportional to 256,046.78, 383,879.90 and 122,800.16

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Solution

The fourth proportional to 256,046.78, 383,879.90 and 122,800.16 is: 184,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.78 : 383,879.90 = 122,800.16 : x
  2. Step 2: Convert to fraction form
    256,046.78/383,879.90 = 122,800.16/x
  3. Step 3: Cross multiply
    256,046.78x = 383,879.90 × 122,800.16
  4. Step 4: Simplify right side
    256,046.78x = 47,140,513,140.78
  5. Step 5: Solve for x
    x = 47,140,513,140.78/256,046.78
  6. Step 6: Final answer
    x = 184,108.99

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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.