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Finding the Fourth Proportional to 390,181.59, 585,259.11 and 165,397.41

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Solution

The fourth proportional to 390,181.59, 585,259.11 and 165,397.41 is: 248,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,181.59 : 585,259.11 = 165,397.41 : x
  2. Step 2: Convert to fraction form
    390,181.59/585,259.11 = 165,397.41/x
  3. Step 3: Cross multiply
    390,181.59x = 585,259.11 × 165,397.41
  4. Step 4: Simplify right side
    390,181.59x = 96,800,340,972.91
  5. Step 5: Solve for x
    x = 96,800,340,972.91/390,181.59
  6. Step 6: Final answer
    x = 248,090.49

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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.