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Finding the Fourth Proportional to 386,812.40, 580,218.60 and 320,327.60

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Solution

The fourth proportional to 386,812.40, 580,218.60 and 320,327.60 is: 480,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,812.40 : 580,218.60 = 320,327.60 : x
  2. Step 2: Convert to fraction form
    386,812.40/580,218.60 = 320,327.60/x
  3. Step 3: Cross multiply
    386,812.40x = 580,218.60 × 320,327.60
  4. Step 4: Simplify right side
    386,812.40x = 185,860,031,613.36
  5. Step 5: Solve for x
    x = 185,860,031,613.36/386,812.40
  6. Step 6: Final answer
    x = 480,491.40

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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.