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Finding the Fourth Proportional to 397,757.12, 548,929.32 and 228,016.76

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Solution

The fourth proportional to 397,757.12, 548,929.32 and 228,016.76 is: 314,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,757.12 : 548,929.32 = 228,016.76 : x
  2. Step 2: Convert to fraction form
    397,757.12/548,929.32 = 228,016.76/x
  3. Step 3: Cross multiply
    397,757.12x = 548,929.32 × 228,016.76
  4. Step 4: Simplify right side
    397,757.12x = 125,165,085,015.40
  5. Step 5: Solve for x
    x = 125,165,085,015.40/397,757.12
  6. Step 6: Final answer
    x = 314,677.17

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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.