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Finding the Fourth Proportional to 320,377.42, 480,763.77 and 162,719.02

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Solution

The fourth proportional to 320,377.42, 480,763.77 and 162,719.02 is: 244,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,377.42 : 480,763.77 = 162,719.02 : x
  2. Step 2: Convert to fraction form
    320,377.42/480,763.77 = 162,719.02/x
  3. Step 3: Cross multiply
    320,377.42x = 480,763.77 × 162,719.02
  4. Step 4: Simplify right side
    320,377.42x = 78,229,409,505.91
  5. Step 5: Solve for x
    x = 78,229,409,505.91/320,377.42
  6. Step 6: Final answer
    x = 244,178.91

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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.