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Finding the Fourth Proportional to 377,934.86, 521,550.06 and 208,168.98

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Solution

The fourth proportional to 377,934.86, 521,550.06 and 208,168.98 is: 287,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,934.86 : 521,550.06 = 208,168.98 : x
  2. Step 2: Convert to fraction form
    377,934.86/521,550.06 = 208,168.98/x
  3. Step 3: Cross multiply
    377,934.86x = 521,550.06 × 208,168.98
  4. Step 4: Simplify right side
    377,934.86x = 108,570,544,009.14
  5. Step 5: Solve for x
    x = 108,570,544,009.14/377,934.86
  6. Step 6: Final answer
    x = 287,273.17

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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.