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Finding the Fourth Proportional to 413,687.84, 620,718.92 and 211,179.32

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Solution

The fourth proportional to 413,687.84, 620,718.92 and 211,179.32 is: 316,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,687.84 : 620,718.92 = 211,179.32 : x
  2. Step 2: Convert to fraction form
    413,687.84/620,718.92 = 211,179.32/x
  3. Step 3: Cross multiply
    413,687.84x = 620,718.92 × 211,179.32
  4. Step 4: Simplify right side
    413,687.84x = 131,082,999,436.73
  5. Step 5: Solve for x
    x = 131,082,999,436.73/413,687.84
  6. Step 6: Final answer
    x = 316,864.52

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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.