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Finding the Fourth Proportional to 390,233.43, 585,336.78 and 165,449.12

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Solution

The fourth proportional to 390,233.43, 585,336.78 and 165,449.12 is: 248,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,233.43 : 585,336.78 = 165,449.12 : x
  2. Step 2: Convert to fraction form
    390,233.43/585,336.78 = 165,449.12/x
  3. Step 3: Cross multiply
    390,233.43x = 585,336.78 × 165,449.12
  4. Step 4: Simplify right side
    390,233.43x = 96,843,452,227.95
  5. Step 5: Solve for x
    x = 96,843,452,227.95/390,233.43
  6. Step 6: Final answer
    x = 248,168.01

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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.