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Finding the Fourth Proportional to 377,812.80, 521,380.86 and 205,728.10

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Solution

The fourth proportional to 377,812.80, 521,380.86 and 205,728.10 is: 283,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,812.80 : 521,380.86 = 205,728.10 : x
  2. Step 2: Convert to fraction form
    377,812.80/521,380.86 = 205,728.10/x
  3. Step 3: Cross multiply
    377,812.80x = 521,380.86 × 205,728.10
  4. Step 4: Simplify right side
    377,812.80x = 107,262,693,704.17
  5. Step 5: Solve for x
    x = 107,262,693,704.17/377,812.80
  6. Step 6: Final answer
    x = 283,904.34

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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.