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Finding the Fourth Proportional to 371,544.92, 512,731.97 and 210,431.12

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Solution

The fourth proportional to 371,544.92, 512,731.97 and 210,431.12 is: 290,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,544.92 : 512,731.97 = 210,431.12 : x
  2. Step 2: Convert to fraction form
    371,544.92/512,731.97 = 210,431.12/x
  3. Step 3: Cross multiply
    371,544.92x = 512,731.97 × 210,431.12
  4. Step 4: Simplify right side
    371,544.92x = 107,894,761,063.88
  5. Step 5: Solve for x
    x = 107,894,761,063.88/371,544.92
  6. Step 6: Final answer
    x = 290,394.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.