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Finding the Fourth Proportional to 228,280.50, 315,028.17 and 127,678.50

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Solution

The fourth proportional to 228,280.50, 315,028.17 and 127,678.50 is: 176,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,280.50 : 315,028.17 = 127,678.50 : x
  2. Step 2: Convert to fraction form
    228,280.50/315,028.17 = 127,678.50/x
  3. Step 3: Cross multiply
    228,280.50x = 315,028.17 × 127,678.50
  4. Step 4: Simplify right side
    228,280.50x = 40,222,324,203.35
  5. Step 5: Solve for x
    x = 40,222,324,203.35/228,280.50
  6. Step 6: Final answer
    x = 176,196.93

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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.