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Finding the Fourth Proportional to 390,344.88, 585,065.52 and 179,540.40

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Solution

The fourth proportional to 390,344.88, 585,065.52 and 179,540.40 is: 269,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,344.88 : 585,065.52 = 179,540.40 : x
  2. Step 2: Convert to fraction form
    390,344.88/585,065.52 = 179,540.40/x
  3. Step 3: Cross multiply
    390,344.88x = 585,065.52 × 179,540.40
  4. Step 4: Simplify right side
    390,344.88x = 105,042,897,487.01
  5. Step 5: Solve for x
    x = 105,042,897,487.01/390,344.88
  6. Step 6: Final answer
    x = 269,102.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.