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Finding the Fourth Proportional to 377,886.86, 521,459.94 and 208,120.98

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Solution

The fourth proportional to 377,886.86, 521,459.94 and 208,120.98 is: 287,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,886.86 : 521,459.94 = 208,120.98 : x
  2. Step 2: Convert to fraction form
    377,886.86/521,459.94 = 208,120.98/x
  3. Step 3: Cross multiply
    377,886.86x = 521,459.94 × 208,120.98
  4. Step 4: Simplify right side
    377,886.86x = 108,526,753,743.54
  5. Step 5: Solve for x
    x = 108,526,753,743.54/377,886.86
  6. Step 6: Final answer
    x = 287,193.77

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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.