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Finding the Fourth Proportional to 432,950.70, 649,426.05 and 133,404.60

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Solution

The fourth proportional to 432,950.70, 649,426.05 and 133,404.60 is: 200,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,950.70 : 649,426.05 = 133,404.60 : x
  2. Step 2: Convert to fraction form
    432,950.70/649,426.05 = 133,404.60/x
  3. Step 3: Cross multiply
    432,950.70x = 649,426.05 × 133,404.60
  4. Step 4: Simplify right side
    432,950.70x = 86,636,422,429.83
  5. Step 5: Solve for x
    x = 86,636,422,429.83/432,950.70
  6. Step 6: Final answer
    x = 200,106.90

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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.