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Finding the Fourth Proportional to 256,032.78, 383,884.74 and 106,376.46

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Solution

The fourth proportional to 256,032.78, 383,884.74 and 106,376.46 is: 159,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.78 : 383,884.74 = 106,376.46 : x
  2. Step 2: Convert to fraction form
    256,032.78/383,884.74 = 106,376.46/x
  3. Step 3: Cross multiply
    256,032.78x = 383,884.74 × 106,376.46
  4. Step 4: Simplify right side
    256,032.78x = 40,836,299,689.22
  5. Step 5: Solve for x
    x = 40,836,299,689.22/256,032.78
  6. Step 6: Final answer
    x = 159,496.37

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1.5x scale

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.