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Finding the Fourth Proportional to 382,462.40, 573,693.60 and 213,809.60

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Solution

The fourth proportional to 382,462.40, 573,693.60 and 213,809.60 is: 320,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,462.40 : 573,693.60 = 213,809.60 : x
  2. Step 2: Convert to fraction form
    382,462.40/573,693.60 = 213,809.60/x
  3. Step 3: Cross multiply
    382,462.40x = 573,693.60 × 213,809.60
  4. Step 4: Simplify right side
    382,462.40x = 122,661,199,138.56
  5. Step 5: Solve for x
    x = 122,661,199,138.56/382,462.40
  6. Step 6: Final answer
    x = 320,714.40

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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.