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Finding the Fourth Proportional to 376,841.52, 565,299.36 and 140,128.56

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Solution

The fourth proportional to 376,841.52, 565,299.36 and 140,128.56 is: 210,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,841.52 : 565,299.36 = 140,128.56 : x
  2. Step 2: Convert to fraction form
    376,841.52/565,299.36 = 140,128.56/x
  3. Step 3: Cross multiply
    376,841.52x = 565,299.36 × 140,128.56
  4. Step 4: Simplify right side
    376,841.52x = 79,214,585,285.72
  5. Step 5: Solve for x
    x = 79,214,585,285.72/376,841.52
  6. Step 6: Final answer
    x = 210,206.63

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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.