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Finding the Fourth Proportional to 463,159.79, 639,188.67 and 259,206.54

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Solution

The fourth proportional to 463,159.79, 639,188.67 and 259,206.54 is: 357,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,159.79 : 639,188.67 = 259,206.54 : x
  2. Step 2: Convert to fraction form
    463,159.79/639,188.67 = 259,206.54/x
  3. Step 3: Cross multiply
    463,159.79x = 639,188.67 × 259,206.54
  4. Step 4: Simplify right side
    463,159.79x = 165,681,882,261.87
  5. Step 5: Solve for x
    x = 165,681,882,261.87/463,159.79
  6. Step 6: Final answer
    x = 357,720.79

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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.