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Finding the Fourth Proportional to 463,203.20, 639,074.70 and 259,221.71

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Solution

The fourth proportional to 463,203.20, 639,074.70 and 259,221.71 is: 357,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,203.20 : 639,074.70 = 259,221.71 : x
  2. Step 2: Convert to fraction form
    463,203.20/639,074.70 = 259,221.71/x
  3. Step 3: Cross multiply
    463,203.20x = 639,074.70 × 259,221.71
  4. Step 4: Simplify right side
    463,203.20x = 165,662,033,291.40
  5. Step 5: Solve for x
    x = 165,662,033,291.40/463,203.20
  6. Step 6: Final answer
    x = 357,644.41

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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.