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Finding the Fourth Proportional to 376,954.18, 565,458.72 and 140,296.78

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Solution

The fourth proportional to 376,954.18, 565,458.72 and 140,296.78 is: 210,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,954.18 : 565,458.72 = 140,296.78 : x
  2. Step 2: Convert to fraction form
    376,954.18/565,458.72 = 140,296.78/x
  3. Step 3: Cross multiply
    376,954.18x = 565,458.72 × 140,296.78
  4. Step 4: Simplify right side
    376,954.18x = 79,332,037,638.92
  5. Step 5: Solve for x
    x = 79,332,037,638.92/376,954.18
  6. Step 6: Final answer
    x = 210,455.39

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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.