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Finding the Fourth Proportional to 305,771.76, 458,129.52 and 165,628.80

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Solution

The fourth proportional to 305,771.76, 458,129.52 and 165,628.80 is: 248,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,771.76 : 458,129.52 = 165,628.80 : x
  2. Step 2: Convert to fraction form
    305,771.76/458,129.52 = 165,628.80/x
  3. Step 3: Cross multiply
    305,771.76x = 458,129.52 × 165,628.80
  4. Step 4: Simplify right side
    305,771.76x = 75,879,442,642.18
  5. Step 5: Solve for x
    x = 75,879,442,642.18/305,771.76
  6. Step 6: Final answer
    x = 248,157.13

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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.