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Finding the Fourth Proportional to 397,761.12, 548,934.84 and 228,020.76

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Solution

The fourth proportional to 397,761.12, 548,934.84 and 228,020.76 is: 314,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,761.12 : 548,934.84 = 228,020.76 : x
  2. Step 2: Convert to fraction form
    397,761.12/548,934.84 = 228,020.76/x
  3. Step 3: Cross multiply
    397,761.12x = 548,934.84 × 228,020.76
  4. Step 4: Simplify right side
    397,761.12x = 125,168,539,407.28
  5. Step 5: Solve for x
    x = 125,168,539,407.28/397,761.12
  6. Step 6: Final answer
    x = 314,682.69

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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.