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Finding the Fourth Proportional to 256,563.16, 384,637.34 and 106,916.20

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Solution

The fourth proportional to 256,563.16, 384,637.34 and 106,916.20 is: 160,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,563.16 : 384,637.34 = 106,916.20 : x
  2. Step 2: Convert to fraction form
    256,563.16/384,637.34 = 106,916.20/x
  3. Step 3: Cross multiply
    256,563.16x = 384,637.34 × 106,916.20
  4. Step 4: Simplify right side
    256,563.16x = 41,123,962,770.91
  5. Step 5: Solve for x
    x = 41,123,962,770.91/256,563.16
  6. Step 6: Final answer
    x = 160,287.87

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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.