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Finding the Fourth Proportional to 320,244.96, 480,668.40 and 162,586.56

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Solution

The fourth proportional to 320,244.96, 480,668.40 and 162,586.56 is: 244,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,244.96 : 480,668.40 = 162,586.56 : x
  2. Step 2: Convert to fraction form
    320,244.96/480,668.40 = 162,586.56/x
  3. Step 3: Cross multiply
    320,244.96x = 480,668.40 × 162,586.56
  4. Step 4: Simplify right side
    320,244.96x = 78,150,221,656.70
  5. Step 5: Solve for x
    x = 78,150,221,656.70/320,244.96
  6. Step 6: Final answer
    x = 244,032.64

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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.