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Finding the Fourth Proportional to 228,490.61, 342,795.05 and 133,800.80

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Solution

The fourth proportional to 228,490.61, 342,795.05 and 133,800.80 is: 200,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,490.61 : 342,795.05 = 133,800.80 : x
  2. Step 2: Convert to fraction form
    228,490.61/342,795.05 = 133,800.80/x
  3. Step 3: Cross multiply
    228,490.61x = 342,795.05 × 133,800.80
  4. Step 4: Simplify right side
    228,490.61x = 45,866,253,117.53
  5. Step 5: Solve for x
    x = 45,866,253,117.53/228,490.61
  6. Step 6: Final answer
    x = 200,735.83

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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.