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Finding the Fourth Proportional to 449,020.40, 619,754.52 and 258,144.68

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Solution

The fourth proportional to 449,020.40, 619,754.52 and 258,144.68 is: 356,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,020.40 : 619,754.52 = 258,144.68 : x
  2. Step 2: Convert to fraction form
    449,020.40/619,754.52 = 258,144.68/x
  3. Step 3: Cross multiply
    449,020.40x = 619,754.52 × 258,144.68
  4. Step 4: Simplify right side
    449,020.40x = 159,986,332,243.95
  5. Step 5: Solve for x
    x = 159,986,332,243.95/449,020.40
  6. Step 6: Final answer
    x = 356,300.81

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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.