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Finding the Fourth Proportional to 390,538.70, 585,808.08 and 141,162.38

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Solution

The fourth proportional to 390,538.70, 585,808.08 and 141,162.38 is: 211,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,538.70 : 585,808.08 = 141,162.38 : x
  2. Step 2: Convert to fraction form
    390,538.70/585,808.08 = 141,162.38/x
  3. Step 3: Cross multiply
    390,538.70x = 585,808.08 × 141,162.38
  4. Step 4: Simplify right side
    390,538.70x = 82,694,062,796.03
  5. Step 5: Solve for x
    x = 82,694,062,796.03/390,538.70
  6. Step 6: Final answer
    x = 211,743.58

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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.