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Finding the Fourth Proportional to 463,406.32, 639,352.02 and 259,427.20

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Solution

The fourth proportional to 463,406.32, 639,352.02 and 259,427.20 is: 357,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,406.32 : 639,352.02 = 259,427.20 : x
  2. Step 2: Convert to fraction form
    463,406.32/639,352.02 = 259,427.20/x
  3. Step 3: Cross multiply
    463,406.32x = 639,352.02 × 259,427.20
  4. Step 4: Simplify right side
    463,406.32x = 165,865,304,362.94
  5. Step 5: Solve for x
    x = 165,865,304,362.94/463,406.32
  6. Step 6: Final answer
    x = 357,926.29

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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.