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Finding the Fourth Proportional to 307,780.83, 461,833.74 and 218,401.02

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Solution

The fourth proportional to 307,780.83, 461,833.74 and 218,401.02 is: 327,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,780.83 : 461,833.74 = 218,401.02 : x
  2. Step 2: Convert to fraction form
    307,780.83/461,833.74 = 218,401.02/x
  3. Step 3: Cross multiply
    307,780.83x = 461,833.74 × 218,401.02
  4. Step 4: Simplify right side
    307,780.83x = 100,864,959,886.42
  5. Step 5: Solve for x
    x = 100,864,959,886.42/307,780.83
  6. Step 6: Final answer
    x = 327,716.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.