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Finding the Fourth Proportional to 268,978.68, 371,199.96 and 148,128.48

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Solution

The fourth proportional to 268,978.68, 371,199.96 and 148,128.48 is: 204,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,978.68 : 371,199.96 = 148,128.48 : x
  2. Step 2: Convert to fraction form
    268,978.68/371,199.96 = 148,128.48/x
  3. Step 3: Cross multiply
    268,978.68x = 371,199.96 × 148,128.48
  4. Step 4: Simplify right side
    268,978.68x = 54,985,285,850.86
  5. Step 5: Solve for x
    x = 54,985,285,850.86/268,978.68
  6. Step 6: Final answer
    x = 204,422.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.