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Finding the Fourth Proportional to 390,158.97, 585,238.46 and 109,676.22

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Solution

The fourth proportional to 390,158.97, 585,238.46 and 109,676.22 is: 164,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,158.97 : 585,238.46 = 109,676.22 : x
  2. Step 2: Convert to fraction form
    390,158.97/585,238.46 = 109,676.22/x
  3. Step 3: Cross multiply
    390,158.97x = 585,238.46 × 109,676.22
  4. Step 4: Simplify right side
    390,158.97x = 64,186,741,543.04
  5. Step 5: Solve for x
    x = 64,186,741,543.04/390,158.97
  6. Step 6: Final answer
    x = 164,514.33

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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.