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Finding the Fourth Proportional to 376,029, 518,920.02 and 206,263.53

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Solution

The fourth proportional to 376,029, 518,920.02 and 206,263.53 is: 284,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,029 : 518,920.02 = 206,263.53 : x
  2. Step 2: Convert to fraction form
    376,029/518,920.02 = 206,263.53/x
  3. Step 3: Cross multiply
    376,029x = 518,920.02 × 206,263.53
  4. Step 4: Simplify right side
    376,029x = 107,034,275,112.87
  5. Step 5: Solve for x
    x = 107,034,275,112.87/376,029
  6. Step 6: Final answer
    x = 284,643.67

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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.