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Finding the Fourth Proportional to 518,838.66, 715,725 and 422,150.60

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Solution

The fourth proportional to 518,838.66, 715,725 and 422,150.60 is: 582,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,838.66 : 715,725 = 422,150.60 : x
  2. Step 2: Convert to fraction form
    518,838.66/715,725 = 422,150.60/x
  3. Step 3: Cross multiply
    518,838.66x = 715,725 × 422,150.60
  4. Step 4: Simplify right side
    518,838.66x = 302,143,738,185
  5. Step 5: Solve for x
    x = 302,143,738,185/518,838.66
  6. Step 6: Final answer
    x = 582,346.23

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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.