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Finding the Fourth Proportional to 398,776.32, 550,275.84 and 228,994.56

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Solution

The fourth proportional to 398,776.32, 550,275.84 and 228,994.56 is: 315,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,776.32 : 550,275.84 = 228,994.56 : x
  2. Step 2: Convert to fraction form
    398,776.32/550,275.84 = 228,994.56/x
  3. Step 3: Cross multiply
    398,776.32x = 550,275.84 × 228,994.56
  4. Step 4: Simplify right side
    398,776.32x = 126,010,173,859.43
  5. Step 5: Solve for x
    x = 126,010,173,859.43/398,776.32
  6. Step 6: Final answer
    x = 315,992.12

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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.