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Finding the Fourth Proportional to 295,651.62, 407,519.91 and 231,007.82

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Solution

The fourth proportional to 295,651.62, 407,519.91 and 231,007.82 is: 318,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,651.62 : 407,519.91 = 231,007.82 : x
  2. Step 2: Convert to fraction form
    295,651.62/407,519.91 = 231,007.82/x
  3. Step 3: Cross multiply
    295,651.62x = 407,519.91 × 231,007.82
  4. Step 4: Simplify right side
    295,651.62x = 94,140,283,978.10
  5. Step 5: Solve for x
    x = 94,140,283,978.10/295,651.62
  6. Step 6: Final answer
    x = 318,416.26

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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.