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Finding the Fourth Proportional to 432,932.84, 649,410.38 and 205,175

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Solution

The fourth proportional to 432,932.84, 649,410.38 and 205,175 is: 307,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,932.84 : 649,410.38 = 205,175 : x
  2. Step 2: Convert to fraction form
    432,932.84/649,410.38 = 205,175/x
  3. Step 3: Cross multiply
    432,932.84x = 649,410.38 × 205,175
  4. Step 4: Simplify right side
    432,932.84x = 133,242,774,716.50
  5. Step 5: Solve for x
    x = 133,242,774,716.50/432,932.84
  6. Step 6: Final answer
    x = 307,767.77

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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.