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Finding the Fourth Proportional to 644,119.76, 889,721.88 and 490,223

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Solution

The fourth proportional to 644,119.76, 889,721.88 and 490,223 is: 677,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,119.76 : 889,721.88 = 490,223 : x
  2. Step 2: Convert to fraction form
    644,119.76/889,721.88 = 490,223/x
  3. Step 3: Cross multiply
    644,119.76x = 889,721.88 × 490,223
  4. Step 4: Simplify right side
    644,119.76x = 436,162,129,179.24
  5. Step 5: Solve for x
    x = 436,162,129,179.24/644,119.76
  6. Step 6: Final answer
    x = 677,144.46

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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.