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Finding the Fourth Proportional to 289,780.80, 434,476.80 and 140,092.80

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Solution

The fourth proportional to 289,780.80, 434,476.80 and 140,092.80 is: 210,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.80 : 434,476.80 = 140,092.80 : x
  2. Step 2: Convert to fraction form
    289,780.80/434,476.80 = 140,092.80/x
  3. Step 3: Cross multiply
    289,780.80x = 434,476.80 × 140,092.80
  4. Step 4: Simplify right side
    289,780.80x = 60,867,071,447.04
  5. Step 5: Solve for x
    x = 60,867,071,447.04/289,780.80
  6. Step 6: Final answer
    x = 210,045.22

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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.