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Finding the Fourth Proportional to 256,081.44, 384,123.60 and 98,271.84

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Solution

The fourth proportional to 256,081.44, 384,123.60 and 98,271.84 is: 147,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,081.44 : 384,123.60 = 98,271.84 : x
  2. Step 2: Convert to fraction form
    256,081.44/384,123.60 = 98,271.84/x
  3. Step 3: Cross multiply
    256,081.44x = 384,123.60 × 98,271.84
  4. Step 4: Simplify right side
    256,081.44x = 37,748,532,959.42
  5. Step 5: Solve for x
    x = 37,748,532,959.42/256,081.44
  6. Step 6: Final answer
    x = 147,408.31

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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.