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Finding the Fourth Proportional to 259,288.29, 388,899.63 and 101,627.46

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Solution

The fourth proportional to 259,288.29, 388,899.63 and 101,627.46 is: 152,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,288.29 : 388,899.63 = 101,627.46 : x
  2. Step 2: Convert to fraction form
    259,288.29/388,899.63 = 101,627.46/x
  3. Step 3: Cross multiply
    259,288.29x = 388,899.63 × 101,627.46
  4. Step 4: Simplify right side
    259,288.29x = 39,522,881,591.84
  5. Step 5: Solve for x
    x = 39,522,881,591.84/259,288.29
  6. Step 6: Final answer
    x = 152,428.33

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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.