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Finding the Fourth Proportional to 305,572.75, 458,371.41 and 145,566.43

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Solution

The fourth proportional to 305,572.75, 458,371.41 and 145,566.43 is: 218,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,572.75 : 458,371.41 = 145,566.43 : x
  2. Step 2: Convert to fraction form
    305,572.75/458,371.41 = 145,566.43/x
  3. Step 3: Cross multiply
    305,572.75x = 458,371.41 × 145,566.43
  4. Step 4: Simplify right side
    305,572.75x = 66,723,489,767.77
  5. Step 5: Solve for x
    x = 66,723,489,767.77/305,572.75
  6. Step 6: Final answer
    x = 218,355.50

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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.