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Finding the Fourth Proportional to 432,635.80, 649,015.80 and 133,141.72

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Solution

The fourth proportional to 432,635.80, 649,015.80 and 133,141.72 is: 199,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,635.80 : 649,015.80 = 133,141.72 : x
  2. Step 2: Convert to fraction form
    432,635.80/649,015.80 = 133,141.72/x
  3. Step 3: Cross multiply
    432,635.80x = 649,015.80 × 133,141.72
  4. Step 4: Simplify right side
    432,635.80x = 86,411,079,919.18
  5. Step 5: Solve for x
    x = 86,411,079,919.18/432,635.80
  6. Step 6: Final answer
    x = 199,731.69

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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.