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Finding the Fourth Proportional to 256,776.28, 385,255.58 and 114,608.61

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Solution

The fourth proportional to 256,776.28, 385,255.58 and 114,608.61 is: 171,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,776.28 : 385,255.58 = 114,608.61 : x
  2. Step 2: Convert to fraction form
    256,776.28/385,255.58 = 114,608.61/x
  3. Step 3: Cross multiply
    256,776.28x = 385,255.58 × 114,608.61
  4. Step 4: Simplify right side
    256,776.28x = 44,153,605,945.50
  5. Step 5: Solve for x
    x = 44,153,605,945.50/256,776.28
  6. Step 6: Final answer
    x = 171,953.60

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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.