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Finding the Fourth Proportional to 432,908.70, 649,374.14 and 205,150.88

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Solution

The fourth proportional to 432,908.70, 649,374.14 and 205,150.88 is: 307,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,908.70 : 649,374.14 = 205,150.88 : x
  2. Step 2: Convert to fraction form
    432,908.70/649,374.14 = 205,150.88/x
  3. Step 3: Cross multiply
    432,908.70x = 649,374.14 × 205,150.88
  4. Step 4: Simplify right side
    432,908.70x = 133,219,671,997.62
  5. Step 5: Solve for x
    x = 133,219,671,997.62/432,908.70
  6. Step 6: Final answer
    x = 307,731.57

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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.