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Finding the Fourth Proportional to 331,376.80, 457,299.93 and 180,473.80

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Solution

The fourth proportional to 331,376.80, 457,299.93 and 180,473.80 is: 249,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,376.80 : 457,299.93 = 180,473.80 : x
  2. Step 2: Convert to fraction form
    331,376.80/457,299.93 = 180,473.80/x
  3. Step 3: Cross multiply
    331,376.80x = 457,299.93 × 180,473.80
  4. Step 4: Simplify right side
    331,376.80x = 82,530,656,106.83
  5. Step 5: Solve for x
    x = 82,530,656,106.83/331,376.80
  6. Step 6: Final answer
    x = 249,053.81

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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.