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Finding the Fourth Proportional to 237,898.80, 328,299.84 and 137,296.80

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Solution

The fourth proportional to 237,898.80, 328,299.84 and 137,296.80 is: 189,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,898.80 : 328,299.84 = 137,296.80 : x
  2. Step 2: Convert to fraction form
    237,898.80/328,299.84 = 137,296.80/x
  3. Step 3: Cross multiply
    237,898.80x = 328,299.84 × 137,296.80
  4. Step 4: Simplify right side
    237,898.80x = 45,074,517,472.51
  5. Step 5: Solve for x
    x = 45,074,517,472.51/237,898.80
  6. Step 6: Final answer
    x = 189,469.29

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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.