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Finding the Fourth Proportional to 376,031.50, 518,923.47 and 206,266.03

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Solution

The fourth proportional to 376,031.50, 518,923.47 and 206,266.03 is: 284,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,031.50 : 518,923.47 = 206,266.03 : x
  2. Step 2: Convert to fraction form
    376,031.50/518,923.47 = 206,266.03/x
  3. Step 3: Cross multiply
    376,031.50x = 518,923.47 × 206,266.03
  4. Step 4: Simplify right side
    376,031.50x = 107,036,284,030.72
  5. Step 5: Solve for x
    x = 107,036,284,030.72/376,031.50
  6. Step 6: Final answer
    x = 284,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.