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Finding the Fourth Proportional to 228,276, 315,021.96 and 127,674

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Solution

The fourth proportional to 228,276, 315,021.96 and 127,674 is: 176,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,276 : 315,021.96 = 127,674 : x
  2. Step 2: Convert to fraction form
    228,276/315,021.96 = 127,674/x
  3. Step 3: Cross multiply
    228,276x = 315,021.96 × 127,674
  4. Step 4: Simplify right side
    228,276x = 40,220,113,721.04
  5. Step 5: Solve for x
    x = 40,220,113,721.04/228,276
  6. Step 6: Final answer
    x = 176,190.72

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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.