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Finding the Fourth Proportional to 208,895, 288,275.46 and 119,471

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Solution

The fourth proportional to 208,895, 288,275.46 and 119,471 is: 164,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,895 : 288,275.46 = 119,471 : x
  2. Step 2: Convert to fraction form
    208,895/288,275.46 = 119,471/x
  3. Step 3: Cross multiply
    208,895x = 288,275.46 × 119,471
  4. Step 4: Simplify right side
    208,895x = 34,440,557,481.66
  5. Step 5: Solve for x
    x = 34,440,557,481.66/208,895
  6. Step 6: Final answer
    x = 164,870.19

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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.