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Finding the Fourth Proportional to 289,135.08, 434,198.94 and 177,471

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Solution

The fourth proportional to 289,135.08, 434,198.94 and 177,471 is: 266,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,135.08 : 434,198.94 = 177,471 : x
  2. Step 2: Convert to fraction form
    289,135.08/434,198.94 = 177,471/x
  3. Step 3: Cross multiply
    289,135.08x = 434,198.94 × 177,471
  4. Step 4: Simplify right side
    289,135.08x = 77,057,720,080.74
  5. Step 5: Solve for x
    x = 77,057,720,080.74/289,135.08
  6. Step 6: Final answer
    x = 266,511.14

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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.