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Finding the Fourth Proportional to 361,533.88, 542,336.79 and 133,890.42

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Solution

The fourth proportional to 361,533.88, 542,336.79 and 133,890.42 is: 200,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,533.88 : 542,336.79 = 133,890.42 : x
  2. Step 2: Convert to fraction form
    361,533.88/542,336.79 = 133,890.42/x
  3. Step 3: Cross multiply
    361,533.88x = 542,336.79 × 133,890.42
  4. Step 4: Simplify right side
    361,533.88x = 72,613,699,279.56
  5. Step 5: Solve for x
    x = 72,613,699,279.56/361,533.88
  6. Step 6: Final answer
    x = 200,848.95

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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.