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Finding the Fourth Proportional to 305,438.72, 458,157.76 and 165,470.72

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Solution

The fourth proportional to 305,438.72, 458,157.76 and 165,470.72 is: 248,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438.72 : 458,157.76 = 165,470.72 : x
  2. Step 2: Convert to fraction form
    305,438.72/458,157.76 = 165,470.72/x
  3. Step 3: Cross multiply
    305,438.72x = 458,157.76 × 165,470.72
  4. Step 4: Simplify right side
    305,438.72x = 75,811,694,420.79
  5. Step 5: Solve for x
    x = 75,811,694,420.79/305,438.72
  6. Step 6: Final answer
    x = 248,205.91

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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.