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Finding the Fourth Proportional to 228,684.16, 315,583.68 and 128,080

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Solution

The fourth proportional to 228,684.16, 315,583.68 and 128,080 is: 176,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,684.16 : 315,583.68 = 128,080 : x
  2. Step 2: Convert to fraction form
    228,684.16/315,583.68 = 128,080/x
  3. Step 3: Cross multiply
    228,684.16x = 315,583.68 × 128,080
  4. Step 4: Simplify right side
    228,684.16x = 40,419,957,734.40
  5. Step 5: Solve for x
    x = 40,419,957,734.40/228,684.16
  6. Step 6: Final answer
    x = 176,750.14

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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.