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Finding the Fourth Proportional to 379,165.40, 568,310.62 and 142,357.04

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Solution

The fourth proportional to 379,165.40, 568,310.62 and 142,357.04 is: 213,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,165.40 : 568,310.62 = 142,357.04 : x
  2. Step 2: Convert to fraction form
    379,165.40/568,310.62 = 142,357.04/x
  3. Step 3: Cross multiply
    379,165.40x = 568,310.62 × 142,357.04
  4. Step 4: Simplify right side
    379,165.40x = 80,903,017,663.76
  5. Step 5: Solve for x
    x = 80,903,017,663.76/379,165.40
  6. Step 6: Final answer
    x = 213,371.31

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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.