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Finding the Fourth Proportional to 463,454.82, 639,418.95 and 259,475.70

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Solution

The fourth proportional to 463,454.82, 639,418.95 and 259,475.70 is: 357,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,454.82 : 639,418.95 = 259,475.70 : x
  2. Step 2: Convert to fraction form
    463,454.82/639,418.95 = 259,475.70/x
  3. Step 3: Cross multiply
    463,454.82x = 639,418.95 × 259,475.70
  4. Step 4: Simplify right side
    463,454.82x = 165,913,679,644.52
  5. Step 5: Solve for x
    x = 165,913,679,644.52/463,454.82
  6. Step 6: Final answer
    x = 357,993.21

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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.