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Finding the Fourth Proportional to 289,737.54, 434,770.74 and 156,614.58

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Solution

The fourth proportional to 289,737.54, 434,770.74 and 156,614.58 is: 235,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,737.54 : 434,770.74 = 156,614.58 : x
  2. Step 2: Convert to fraction form
    289,737.54/434,770.74 = 156,614.58/x
  3. Step 3: Cross multiply
    289,737.54x = 434,770.74 × 156,614.58
  4. Step 4: Simplify right side
    289,737.54x = 68,091,436,841.39
  5. Step 5: Solve for x
    x = 68,091,436,841.39/289,737.54
  6. Step 6: Final answer
    x = 235,010.75

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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.