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Finding the Fourth Proportional to 382,615.20, 573,922.80 and 323,566.20

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Solution

The fourth proportional to 382,615.20, 573,922.80 and 323,566.20 is: 485,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,615.20 : 573,922.80 = 323,566.20 : x
  2. Step 2: Convert to fraction form
    382,615.20/573,922.80 = 323,566.20/x
  3. Step 3: Cross multiply
    382,615.20x = 573,922.80 × 323,566.20
  4. Step 4: Simplify right side
    382,615.20x = 185,702,019,489.36
  5. Step 5: Solve for x
    x = 185,702,019,489.36/382,615.20
  6. Step 6: Final answer
    x = 485,349.30

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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.