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Finding the Fourth Proportional to 331,803.60, 457,869.24 and 188,543.76

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Solution

The fourth proportional to 331,803.60, 457,869.24 and 188,543.76 is: 260,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,803.60 : 457,869.24 = 188,543.76 : x
  2. Step 2: Convert to fraction form
    331,803.60/457,869.24 = 188,543.76/x
  3. Step 3: Cross multiply
    331,803.60x = 457,869.24 × 188,543.76
  4. Step 4: Simplify right side
    331,803.60x = 86,328,388,097.94
  5. Step 5: Solve for x
    x = 86,328,388,097.94/331,803.60
  6. Step 6: Final answer
    x = 260,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.