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Finding the Fourth Proportional to 204,689.80, 305,595.44 and 156,405.71

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Solution

The fourth proportional to 204,689.80, 305,595.44 and 156,405.71 is: 233,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.80 : 305,595.44 = 156,405.71 : x
  2. Step 2: Convert to fraction form
    204,689.80/305,595.44 = 156,405.71/x
  3. Step 3: Cross multiply
    204,689.80x = 305,595.44 × 156,405.71
  4. Step 4: Simplify right side
    204,689.80x = 47,796,869,455.96
  5. Step 5: Solve for x
    x = 47,796,869,455.96/204,689.80
  6. Step 6: Final answer
    x = 233,508.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.