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Finding the Fourth Proportional to 449,950.23, 621,087.69 and 259,039.71

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Solution

The fourth proportional to 449,950.23, 621,087.69 and 259,039.71 is: 357,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,950.23 : 621,087.69 = 259,039.71 : x
  2. Step 2: Convert to fraction form
    449,950.23/621,087.69 = 259,039.71/x
  3. Step 3: Cross multiply
    449,950.23x = 621,087.69 × 259,039.71
  4. Step 4: Simplify right side
    449,950.23x = 160,886,375,102.17
  5. Step 5: Solve for x
    x = 160,886,375,102.17/449,950.23
  6. Step 6: Final answer
    x = 357,564.82

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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.