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Finding the Fourth Proportional to 449,006.75, 619,434.95 and 274,584.61

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Solution

The fourth proportional to 449,006.75, 619,434.95 and 274,584.61 is: 378,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,006.75 : 619,434.95 = 274,584.61 : x
  2. Step 2: Convert to fraction form
    449,006.75/619,434.95 = 274,584.61/x
  3. Step 3: Cross multiply
    449,006.75x = 619,434.95 × 274,584.61
  4. Step 4: Simplify right side
    449,006.75x = 170,087,303,567.49
  5. Step 5: Solve for x
    x = 170,087,303,567.49/449,006.75
  6. Step 6: Final answer
    x = 378,807.90

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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.