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Finding the Fourth Proportional to 522,387.82, 784,369.05 and 298,001.62

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Solution

The fourth proportional to 522,387.82, 784,369.05 and 298,001.62 is: 447,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,387.82 : 784,369.05 = 298,001.62 : x
  2. Step 2: Convert to fraction form
    522,387.82/784,369.05 = 298,001.62/x
  3. Step 3: Cross multiply
    522,387.82x = 784,369.05 × 298,001.62
  4. Step 4: Simplify right side
    522,387.82x = 233,743,247,577.86
  5. Step 5: Solve for x
    x = 233,743,247,577.86/522,387.82
  6. Step 6: Final answer
    x = 447,451.56

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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.