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Finding the Fourth Proportional to 219,909.94, 303,474.45 and 119,305.78

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Solution

The fourth proportional to 219,909.94, 303,474.45 and 119,305.78 is: 164,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,909.94 : 303,474.45 = 119,305.78 : x
  2. Step 2: Convert to fraction form
    219,909.94/303,474.45 = 119,305.78/x
  3. Step 3: Cross multiply
    219,909.94x = 303,474.45 × 119,305.78
  4. Step 4: Simplify right side
    219,909.94x = 36,206,255,967.32
  5. Step 5: Solve for x
    x = 36,206,255,967.32/219,909.94
  6. Step 6: Final answer
    x = 164,641.29

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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.