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Finding the Fourth Proportional to 378,938.91, 568,585.62 and 165,679.20

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Solution

The fourth proportional to 378,938.91, 568,585.62 and 165,679.20 is: 248,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,938.91 : 568,585.62 = 165,679.20 : x
  2. Step 2: Convert to fraction form
    378,938.91/568,585.62 = 165,679.20/x
  3. Step 3: Cross multiply
    378,938.91x = 568,585.62 × 165,679.20
  4. Step 4: Simplify right side
    378,938.91x = 94,202,810,653.10
  5. Step 5: Solve for x
    x = 94,202,810,653.10/378,938.91
  6. Step 6: Final answer
    x = 248,596.30

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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.