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Finding the Fourth Proportional to 376,087.79, 518,970.02 and 206,321.91

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Solution

The fourth proportional to 376,087.79, 518,970.02 and 206,321.91 is: 284,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,087.79 : 518,970.02 = 206,321.91 : x
  2. Step 2: Convert to fraction form
    376,087.79/518,970.02 = 206,321.91/x
  3. Step 3: Cross multiply
    376,087.79x = 518,970.02 × 206,321.91
  4. Step 4: Simplify right side
    376,087.79x = 107,074,884,727.53
  5. Step 5: Solve for x
    x = 107,074,884,727.53/376,087.79
  6. Step 6: Final answer
    x = 284,707.16

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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.