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Finding the Fourth Proportional to 298,165.39, 410,429.45 and 259,859.09

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Solution

The fourth proportional to 298,165.39, 410,429.45 and 259,859.09 is: 357,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,165.39 : 410,429.45 = 259,859.09 : x
  2. Step 2: Convert to fraction form
    298,165.39/410,429.45 = 259,859.09/x
  3. Step 3: Cross multiply
    298,165.39x = 410,429.45 × 259,859.09
  4. Step 4: Simplify right side
    298,165.39x = 106,653,821,291.55
  5. Step 5: Solve for x
    x = 106,653,821,291.55/298,165.39
  6. Step 6: Final answer
    x = 357,700.21

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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.