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Finding the Fourth Proportional to 228,286, 315,035.76 and 127,684

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Solution

The fourth proportional to 228,286, 315,035.76 and 127,684 is: 176,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286 : 315,035.76 = 127,684 : x
  2. Step 2: Convert to fraction form
    228,286/315,035.76 = 127,684/x
  3. Step 3: Cross multiply
    228,286x = 315,035.76 × 127,684
  4. Step 4: Simplify right side
    228,286x = 40,225,025,979.84
  5. Step 5: Solve for x
    x = 40,225,025,979.84/228,286
  6. Step 6: Final answer
    x = 176,204.52

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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.