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Finding the Fourth Proportional to 219,802, 303,326.94 and 119,200

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Solution

The fourth proportional to 219,802, 303,326.94 and 119,200 is: 164,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,802 : 303,326.94 = 119,200 : x
  2. Step 2: Convert to fraction form
    219,802/303,326.94 = 119,200/x
  3. Step 3: Cross multiply
    219,802x = 303,326.94 × 119,200
  4. Step 4: Simplify right side
    219,802x = 36,156,571,248
  5. Step 5: Solve for x
    x = 36,156,571,248/219,802
  6. Step 6: Final answer
    x = 164,496.10

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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.