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Finding the Fourth Proportional to 399,698.82, 551,585.82 and 218,410.76

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Solution

The fourth proportional to 399,698.82, 551,585.82 and 218,410.76 is: 301,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,698.82 : 551,585.82 = 218,410.76 : x
  2. Step 2: Convert to fraction form
    399,698.82/551,585.82 = 218,410.76/x
  3. Step 3: Cross multiply
    399,698.82x = 551,585.82 × 218,410.76
  4. Step 4: Simplify right side
    399,698.82x = 120,472,278,151.42
  5. Step 5: Solve for x
    x = 120,472,278,151.42/399,698.82
  6. Step 6: Final answer
    x = 301,407.64

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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.