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Finding the Fourth Proportional to 378,489.84, 521,773.44 and 297,777.60

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Solution

The fourth proportional to 378,489.84, 521,773.44 and 297,777.60 is: 410,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,489.84 : 521,773.44 = 297,777.60 : x
  2. Step 2: Convert to fraction form
    378,489.84/521,773.44 = 297,777.60/x
  3. Step 3: Cross multiply
    378,489.84x = 521,773.44 × 297,777.60
  4. Step 4: Simplify right side
    378,489.84x = 155,372,442,706.94
  5. Step 5: Solve for x
    x = 155,372,442,706.94/378,489.84
  6. Step 6: Final answer
    x = 410,506.24

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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.