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Finding the Fourth Proportional to 371,716.63, 512,994.31 and 210,573

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Solution

The fourth proportional to 371,716.63, 512,994.31 and 210,573 is: 290,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,716.63 : 512,994.31 = 210,573 : x
  2. Step 2: Convert to fraction form
    371,716.63/512,994.31 = 210,573/x
  3. Step 3: Cross multiply
    371,716.63x = 512,994.31 × 210,573
  4. Step 4: Simplify right side
    371,716.63x = 108,022,750,313.20
  5. Step 5: Solve for x
    x = 108,022,750,313.20/371,716.63
  6. Step 6: Final answer
    x = 290,605.11

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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.