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Finding the Fourth Proportional to 305,571.75, 458,369.91 and 145,565.43

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Solution

The fourth proportional to 305,571.75, 458,369.91 and 145,565.43 is: 218,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,571.75 : 458,369.91 = 145,565.43 : x
  2. Step 2: Convert to fraction form
    305,571.75/458,369.91 = 145,565.43/x
  3. Step 3: Cross multiply
    305,571.75x = 458,369.91 × 145,565.43
  4. Step 4: Simplify right side
    305,571.75x = 66,722,813,048.21
  5. Step 5: Solve for x
    x = 66,722,813,048.21/305,571.75
  6. Step 6: Final answer
    x = 218,354.00

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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.