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Finding the Fourth Proportional to 376,034.50, 518,927.64 and 206,269.06

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Solution

The fourth proportional to 376,034.50, 518,927.64 and 206,269.06 is: 284,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,034.50 : 518,927.64 = 206,269.06 : x
  2. Step 2: Convert to fraction form
    376,034.50/518,927.64 = 206,269.06/x
  3. Step 3: Cross multiply
    376,034.50x = 518,927.64 × 206,269.06
  4. Step 4: Simplify right side
    376,034.50x = 107,038,716,510.82
  5. Step 5: Solve for x
    x = 107,038,716,510.82/376,034.50
  6. Step 6: Final answer
    x = 284,651.32

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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.