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Finding the Fourth Proportional to 256,881.44, 385,322.72 and 138,608.48

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Solution

The fourth proportional to 256,881.44, 385,322.72 and 138,608.48 is: 207,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,881.44 : 385,322.72 = 138,608.48 : x
  2. Step 2: Convert to fraction form
    256,881.44/385,322.72 = 138,608.48/x
  3. Step 3: Cross multiply
    256,881.44x = 385,322.72 × 138,608.48
  4. Step 4: Simplify right side
    256,881.44x = 53,408,996,528.67
  5. Step 5: Solve for x
    x = 53,408,996,528.67/256,881.44
  6. Step 6: Final answer
    x = 207,913.02

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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.