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Finding the Fourth Proportional to 256,718.79, 385,267.37 and 121,783.27

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Solution

The fourth proportional to 256,718.79, 385,267.37 and 121,783.27 is: 182,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,718.79 : 385,267.37 = 121,783.27 : x
  2. Step 2: Convert to fraction form
    256,718.79/385,267.37 = 121,783.27/x
  3. Step 3: Cross multiply
    256,718.79x = 385,267.37 × 121,783.27
  4. Step 4: Simplify right side
    256,718.79x = 46,919,120,142.90
  5. Step 5: Solve for x
    x = 46,919,120,142.90/256,718.79
  6. Step 6: Final answer
    x = 182,764.65

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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.