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Finding the Fourth Proportional to 377,915.30, 521,523.65 and 205,833.94

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Solution

The fourth proportional to 377,915.30, 521,523.65 and 205,833.94 is: 284,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,915.30 : 521,523.65 = 205,833.94 : x
  2. Step 2: Convert to fraction form
    377,915.30/521,523.65 = 205,833.94/x
  3. Step 3: Cross multiply
    377,915.30x = 521,523.65 × 205,833.94
  4. Step 4: Simplify right side
    377,915.30x = 107,347,265,349.70
  5. Step 5: Solve for x
    x = 107,347,265,349.70/377,915.30
  6. Step 6: Final answer
    x = 284,051.12

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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.