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Finding the Fourth Proportional to 289,665.90, 434,540.28 and 109,702.80

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Solution

The fourth proportional to 289,665.90, 434,540.28 and 109,702.80 is: 164,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,665.90 : 434,540.28 = 109,702.80 : x
  2. Step 2: Convert to fraction form
    289,665.90/434,540.28 = 109,702.80/x
  3. Step 3: Cross multiply
    289,665.90x = 434,540.28 × 109,702.80
  4. Step 4: Simplify right side
    289,665.90x = 47,670,285,428.78
  5. Step 5: Solve for x
    x = 47,670,285,428.78/289,665.90
  6. Step 6: Final answer
    x = 164,569.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.