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Finding the Fourth Proportional to 377,191.86, 520,508.92 and 213,859.35

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Solution

The fourth proportional to 377,191.86, 520,508.92 and 213,859.35 is: 295,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,191.86 : 520,508.92 = 213,859.35 : x
  2. Step 2: Convert to fraction form
    377,191.86/520,508.92 = 213,859.35/x
  3. Step 3: Cross multiply
    377,191.86x = 520,508.92 × 213,859.35
  4. Step 4: Simplify right side
    377,191.86x = 111,315,699,300.40
  5. Step 5: Solve for x
    x = 111,315,699,300.40/377,191.86
  6. Step 6: Final answer
    x = 295,116.92

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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.