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Finding the Fourth Proportional to 228,278.25, 315,025.07 and 127,676.25

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Solution

The fourth proportional to 228,278.25, 315,025.07 and 127,676.25 is: 176,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,278.25 : 315,025.07 = 127,676.25 : x
  2. Step 2: Convert to fraction form
    228,278.25/315,025.07 = 127,676.25/x
  3. Step 3: Cross multiply
    228,278.25x = 315,025.07 × 127,676.25
  4. Step 4: Simplify right side
    228,278.25x = 40,221,218,955.21
  5. Step 5: Solve for x
    x = 40,221,218,955.21/228,278.25
  6. Step 6: Final answer
    x = 176,193.83

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1.5x scale

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.