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Finding the Fourth Proportional to 377,844.72, 521,404.92 and 208,045.68

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Solution

The fourth proportional to 377,844.72, 521,404.92 and 208,045.68 is: 287,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,844.72 : 521,404.92 = 208,045.68 : x
  2. Step 2: Convert to fraction form
    377,844.72/521,404.92 = 208,045.68/x
  3. Step 3: Cross multiply
    377,844.72x = 521,404.92 × 208,045.68
  4. Step 4: Simplify right side
    377,844.72x = 108,476,041,136.75
  5. Step 5: Solve for x
    x = 108,476,041,136.75/377,844.72
  6. Step 6: Final answer
    x = 287,091.59

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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.