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Finding the Fourth Proportional to 228,261.90, 342,112.42 and 128,211.78

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Solution

The fourth proportional to 228,261.90, 342,112.42 and 128,211.78 is: 192,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,261.90 : 342,112.42 = 128,211.78 : x
  2. Step 2: Convert to fraction form
    228,261.90/342,112.42 = 128,211.78/x
  3. Step 3: Cross multiply
    228,261.90x = 342,112.42 × 128,211.78
  4. Step 4: Simplify right side
    228,261.90x = 43,862,842,328.31
  5. Step 5: Solve for x
    x = 43,862,842,328.31/228,261.90
  6. Step 6: Final answer
    x = 192,160.16

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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.