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Finding the Fourth Proportional to 399,841.91, 599,793.84 and 133,603.35

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Solution

The fourth proportional to 399,841.91, 599,793.84 and 133,603.35 is: 200,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,841.91 : 599,793.84 = 133,603.35 : x
  2. Step 2: Convert to fraction form
    399,841.91/599,793.84 = 133,603.35/x
  3. Step 3: Cross multiply
    399,841.91x = 599,793.84 × 133,603.35
  4. Step 4: Simplify right side
    399,841.91x = 80,134,466,333.36
  5. Step 5: Solve for x
    x = 80,134,466,333.36/399,841.91
  6. Step 6: Final answer
    x = 200,415.38

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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.