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Finding the Fourth Proportional to 208,897, 288,278.22 and 119,473

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Solution

The fourth proportional to 208,897, 288,278.22 and 119,473 is: 164,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,897 : 288,278.22 = 119,473 : x
  2. Step 2: Convert to fraction form
    208,897/288,278.22 = 119,473/x
  3. Step 3: Cross multiply
    208,897x = 288,278.22 × 119,473
  4. Step 4: Simplify right side
    208,897x = 34,441,463,778.06
  5. Step 5: Solve for x
    x = 34,441,463,778.06/208,897
  6. Step 6: Final answer
    x = 164,872.95

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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.