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Finding the Fourth Proportional to 399,807.60, 551,719.50 and 218,518.05

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Solution

The fourth proportional to 399,807.60, 551,719.50 and 218,518.05 is: 301,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807.60 : 551,719.50 = 218,518.05 : x
  2. Step 2: Convert to fraction form
    399,807.60/551,719.50 = 218,518.05/x
  3. Step 3: Cross multiply
    399,807.60x = 551,719.50 × 218,518.05
  4. Step 4: Simplify right side
    399,807.60x = 120,560,671,765.64
  5. Step 5: Solve for x
    x = 120,560,671,765.64/399,807.60
  6. Step 6: Final answer
    x = 301,546.73

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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.