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Finding the Fourth Proportional to 256,109.10, 384,163.65 and 122,920.80

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Solution

The fourth proportional to 256,109.10, 384,163.65 and 122,920.80 is: 184,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,109.10 : 384,163.65 = 122,920.80 : x
  2. Step 2: Convert to fraction form
    256,109.10/384,163.65 = 122,920.80/x
  3. Step 3: Cross multiply
    256,109.10x = 384,163.65 × 122,920.80
  4. Step 4: Simplify right side
    256,109.10x = 47,221,703,188.92
  5. Step 5: Solve for x
    x = 47,221,703,188.92/256,109.10
  6. Step 6: Final answer
    x = 184,381.20

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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.