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Finding the Fourth Proportional to 463,433.87, 639,485.88 and 259,456.43

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Solution

The fourth proportional to 463,433.87, 639,485.88 and 259,456.43 is: 358,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,433.87 : 639,485.88 = 259,456.43 : x
  2. Step 2: Convert to fraction form
    463,433.87/639,485.88 = 259,456.43/x
  3. Step 3: Cross multiply
    463,433.87x = 639,485.88 × 259,456.43
  4. Step 4: Simplify right side
    463,433.87x = 165,918,723,460.21
  5. Step 5: Solve for x
    x = 165,918,723,460.21/463,433.87
  6. Step 6: Final answer
    x = 358,020.28

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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.