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Finding the Fourth Proportional to 390,614.22, 585,919.62 and 165,940.20

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Solution

The fourth proportional to 390,614.22, 585,919.62 and 165,940.20 is: 248,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,614.22 : 585,919.62 = 165,940.20 : x
  2. Step 2: Convert to fraction form
    390,614.22/585,919.62 = 165,940.20/x
  3. Step 3: Cross multiply
    390,614.22x = 585,919.62 × 165,940.20
  4. Step 4: Simplify right side
    390,614.22x = 97,227,618,926.72
  5. Step 5: Solve for x
    x = 97,227,618,926.72/390,614.22
  6. Step 6: Final answer
    x = 248,909.57

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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.