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Finding the Fourth Proportional to 271,495.80, 407,360.34 and 193,113.72

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Solution

The fourth proportional to 271,495.80, 407,360.34 and 193,113.72 is: 289,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495.80 : 407,360.34 = 193,113.72 : x
  2. Step 2: Convert to fraction form
    271,495.80/407,360.34 = 193,113.72/x
  3. Step 3: Cross multiply
    271,495.80x = 407,360.34 × 193,113.72
  4. Step 4: Simplify right side
    271,495.80x = 78,666,870,637.86
  5. Step 5: Solve for x
    x = 78,666,870,637.86/271,495.80
  6. Step 6: Final answer
    x = 289,753.55

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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.