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Finding the Fourth Proportional to 518,833.66, 715,718.10 and 422,145.60

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Solution

The fourth proportional to 518,833.66, 715,718.10 and 422,145.60 is: 582,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,833.66 : 715,718.10 = 422,145.60 : x
  2. Step 2: Convert to fraction form
    518,833.66/715,718.10 = 422,145.60/x
  3. Step 3: Cross multiply
    518,833.66x = 715,718.10 × 422,145.60
  4. Step 4: Simplify right side
    518,833.66x = 302,137,246,755.36
  5. Step 5: Solve for x
    x = 302,137,246,755.36/518,833.66
  6. Step 6: Final answer
    x = 582,339.33

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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.