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Finding the Fourth Proportional to 518,830.65, 715,713.96 and 422,142.60

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Solution

The fourth proportional to 518,830.65, 715,713.96 and 422,142.60 is: 582,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,830.65 : 715,713.96 = 422,142.60 : x
  2. Step 2: Convert to fraction form
    518,830.65/715,713.96 = 422,142.60/x
  3. Step 3: Cross multiply
    518,830.65x = 715,713.96 × 422,142.60
  4. Step 4: Simplify right side
    518,830.65x = 302,133,351,930.70
  5. Step 5: Solve for x
    x = 302,133,351,930.70/518,830.65
  6. Step 6: Final answer
    x = 582,335.20

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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.