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Finding the Fourth Proportional to 209,324, 288,893.28 and 119,900

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Solution

The fourth proportional to 209,324, 288,893.28 and 119,900 is: 165,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324 : 288,893.28 = 119,900 : x
  2. Step 2: Convert to fraction form
    209,324/288,893.28 = 119,900/x
  3. Step 3: Cross multiply
    209,324x = 288,893.28 × 119,900
  4. Step 4: Simplify right side
    209,324x = 34,638,304,272
  5. Step 5: Solve for x
    x = 34,638,304,272/209,324
  6. Step 6: Final answer
    x = 165,476.98

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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.