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Finding the Fourth Proportional to 256,660, 384,990 and 106,970.80

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Solution

The fourth proportional to 256,660, 384,990 and 106,970.80 is: 160,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,660 : 384,990 = 106,970.80 : x
  2. Step 2: Convert to fraction form
    256,660/384,990 = 106,970.80/x
  3. Step 3: Cross multiply
    256,660x = 384,990 × 106,970.80
  4. Step 4: Simplify right side
    256,660x = 41,182,688,292
  5. Step 5: Solve for x
    x = 41,182,688,292/256,660
  6. Step 6: Final answer
    x = 160,456.20

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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.