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Finding the Fourth Proportional to 380,813.48, 571,562.86 and 203,472.08

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Solution

The fourth proportional to 380,813.48, 571,562.86 and 203,472.08 is: 305,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,813.48 : 571,562.86 = 203,472.08 : x
  2. Step 2: Convert to fraction form
    380,813.48/571,562.86 = 203,472.08/x
  3. Step 3: Cross multiply
    380,813.48x = 571,562.86 × 203,472.08
  4. Step 4: Simplify right side
    380,813.48x = 116,297,083,974.95
  5. Step 5: Solve for x
    x = 116,297,083,974.95/380,813.48
  6. Step 6: Final answer
    x = 305,391.20

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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.