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Finding the Fourth Proportional to 422,141.29, 582,642.96 and 388,095.85

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Solution

The fourth proportional to 422,141.29, 582,642.96 and 388,095.85 is: 535,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,141.29 : 582,642.96 = 388,095.85 : x
  2. Step 2: Convert to fraction form
    422,141.29/582,642.96 = 388,095.85/x
  3. Step 3: Cross multiply
    422,141.29x = 582,642.96 × 388,095.85
  4. Step 4: Simplify right side
    422,141.29x = 226,121,314,807.72
  5. Step 5: Solve for x
    x = 226,121,314,807.72/422,141.29
  6. Step 6: Final answer
    x = 535,653.16

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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.