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Finding the Fourth Proportional to 258,969.23, 388,811.61 and 178,819.10

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Solution

The fourth proportional to 258,969.23, 388,811.61 and 178,819.10 is: 268,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,969.23 : 388,811.61 = 178,819.10 : x
  2. Step 2: Convert to fraction form
    258,969.23/388,811.61 = 178,819.10/x
  3. Step 3: Cross multiply
    258,969.23x = 388,811.61 × 178,819.10
  4. Step 4: Simplify right side
    258,969.23x = 69,526,940,225.69
  5. Step 5: Solve for x
    x = 69,526,940,225.69/258,969.23
  6. Step 6: Final answer
    x = 268,475.69

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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.