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Finding the Fourth Proportional to 518,832.66, 715,716.72 and 422,144.60

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Solution

The fourth proportional to 518,832.66, 715,716.72 and 422,144.60 is: 582,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,832.66 : 715,716.72 = 422,144.60 : x
  2. Step 2: Convert to fraction form
    518,832.66/715,716.72 = 422,144.60/x
  3. Step 3: Cross multiply
    518,832.66x = 715,716.72 × 422,144.60
  4. Step 4: Simplify right side
    518,832.66x = 302,135,948,477.71
  5. Step 5: Solve for x
    x = 302,135,948,477.71/518,832.66
  6. Step 6: Final answer
    x = 582,337.95

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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.