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Finding the Fourth Proportional to 377,802, 521,354.52 and 208,031.76

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Solution

The fourth proportional to 377,802, 521,354.52 and 208,031.76 is: 287,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,802 : 521,354.52 = 208,031.76 : x
  2. Step 2: Convert to fraction form
    377,802/521,354.52 = 208,031.76/x
  3. Step 3: Cross multiply
    377,802x = 521,354.52 × 208,031.76
  4. Step 4: Simplify right side
    377,802x = 108,458,298,379.56
  5. Step 5: Solve for x
    x = 108,458,298,379.56/377,802
  6. Step 6: Final answer
    x = 287,077.09

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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.