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Finding the Fourth Proportional to 256,492.76, 384,758.47 and 76,563.97

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Solution

The fourth proportional to 256,492.76, 384,758.47 and 76,563.97 is: 114,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,492.76 : 384,758.47 = 76,563.97 : x
  2. Step 2: Convert to fraction form
    256,492.76/384,758.47 = 76,563.97/x
  3. Step 3: Cross multiply
    256,492.76x = 384,758.47 × 76,563.97
  4. Step 4: Simplify right side
    256,492.76x = 29,458,634,657.46
  5. Step 5: Solve for x
    x = 29,458,634,657.46/256,492.76
  6. Step 6: Final answer
    x = 114,851.72

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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.