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Finding the Fourth Proportional to 377,808.81, 521,375.33 and 205,724.10

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Solution

The fourth proportional to 377,808.81, 521,375.33 and 205,724.10 is: 283,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,808.81 : 521,375.33 = 205,724.10 : x
  2. Step 2: Convert to fraction form
    377,808.81/521,375.33 = 205,724.10/x
  3. Step 3: Cross multiply
    377,808.81x = 521,375.33 × 205,724.10
  4. Step 4: Simplify right side
    377,808.81x = 107,259,472,995.92
  5. Step 5: Solve for x
    x = 107,259,472,995.92/377,808.81
  6. Step 6: Final answer
    x = 283,898.82

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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.