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Finding the Fourth Proportional to 256,823.20, 385,695.60 and 186,781.60

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Solution

The fourth proportional to 256,823.20, 385,695.60 and 186,781.60 is: 280,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.20 : 385,695.60 = 186,781.60 : x
  2. Step 2: Convert to fraction form
    256,823.20/385,695.60 = 186,781.60/x
  3. Step 3: Cross multiply
    256,823.20x = 385,695.60 × 186,781.60
  4. Step 4: Simplify right side
    256,823.20x = 72,040,841,280.96
  5. Step 5: Solve for x
    x = 72,040,841,280.96/256,823.20
  6. Step 6: Final answer
    x = 280,507.53

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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.