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Finding the Fourth Proportional to 376,908.72, 565,390.76 and 140,251.36

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Solution

The fourth proportional to 376,908.72, 565,390.76 and 140,251.36 is: 210,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,908.72 : 565,390.76 = 140,251.36 : x
  2. Step 2: Convert to fraction form
    376,908.72/565,390.76 = 140,251.36/x
  3. Step 3: Cross multiply
    376,908.72x = 565,390.76 × 140,251.36
  4. Step 4: Simplify right side
    376,908.72x = 79,296,823,021.43
  5. Step 5: Solve for x
    x = 79,296,823,021.43/376,908.72
  6. Step 6: Final answer
    x = 210,387.34

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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.