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Finding the Fourth Proportional to 256,977.64, 385,492.26 and 88,475.66

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Solution

The fourth proportional to 256,977.64, 385,492.26 and 88,475.66 is: 132,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,977.64 : 385,492.26 = 88,475.66 : x
  2. Step 2: Convert to fraction form
    256,977.64/385,492.26 = 88,475.66/x
  3. Step 3: Cross multiply
    256,977.64x = 385,492.26 × 88,475.66
  4. Step 4: Simplify right side
    256,977.64x = 34,106,682,128.39
  5. Step 5: Solve for x
    x = 34,106,682,128.39/256,977.64
  6. Step 6: Final answer
    x = 132,722.37

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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.