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Finding the Fourth Proportional to 305,222.75, 457,899.74 and 102,838.97

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Solution

The fourth proportional to 305,222.75, 457,899.74 and 102,838.97 is: 154,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222.75 : 457,899.74 = 102,838.97 : x
  2. Step 2: Convert to fraction form
    305,222.75/457,899.74 = 102,838.97/x
  3. Step 3: Cross multiply
    305,222.75x = 457,899.74 × 102,838.97
  4. Step 4: Simplify right side
    305,222.75x = 47,089,937,110.67
  5. Step 5: Solve for x
    x = 47,089,937,110.67/305,222.75
  6. Step 6: Final answer
    x = 154,280.56

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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.