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Finding the Fourth Proportional to 322,464.74, 482,282.31 and 287,174.93

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Solution

The fourth proportional to 322,464.74, 482,282.31 and 287,174.93 is: 429,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464.74 : 482,282.31 = 287,174.93 : x
  2. Step 2: Convert to fraction form
    322,464.74/482,282.31 = 287,174.93/x
  3. Step 3: Cross multiply
    322,464.74x = 482,282.31 × 287,174.93
  4. Step 4: Simplify right side
    322,464.74x = 138,499,388,614.49
  5. Step 5: Solve for x
    x = 138,499,388,614.49/322,464.74
  6. Step 6: Final answer
    x = 429,502.43

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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.