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Finding the Fourth Proportional to 228,024, 314,673.12 and 127,422

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Solution

The fourth proportional to 228,024, 314,673.12 and 127,422 is: 175,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,024 : 314,673.12 = 127,422 : x
  2. Step 2: Convert to fraction form
    228,024/314,673.12 = 127,422/x
  3. Step 3: Cross multiply
    228,024x = 314,673.12 × 127,422
  4. Step 4: Simplify right side
    228,024x = 40,096,278,296.64
  5. Step 5: Solve for x
    x = 40,096,278,296.64/228,024
  6. Step 6: Final answer
    x = 175,842.36

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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.