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Finding the Fourth Proportional to 271,818.30, 407,727.45 and 177,339.90

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Solution

The fourth proportional to 271,818.30, 407,727.45 and 177,339.90 is: 266,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818.30 : 407,727.45 = 177,339.90 : x
  2. Step 2: Convert to fraction form
    271,818.30/407,727.45 = 177,339.90/x
  3. Step 3: Cross multiply
    271,818.30x = 407,727.45 × 177,339.90
  4. Step 4: Simplify right side
    271,818.30x = 72,306,345,210.26
  5. Step 5: Solve for x
    x = 72,306,345,210.26/271,818.30
  6. Step 6: Final answer
    x = 266,009.85

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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.