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Finding the Fourth Proportional to 382,018.47, 573,046.80 and 145,379.53

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Solution

The fourth proportional to 382,018.47, 573,046.80 and 145,379.53 is: 218,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,018.47 : 573,046.80 = 145,379.53 : x
  2. Step 2: Convert to fraction form
    382,018.47/573,046.80 = 145,379.53/x
  3. Step 3: Cross multiply
    382,018.47x = 573,046.80 × 145,379.53
  4. Step 4: Simplify right side
    382,018.47x = 83,309,274,452.00
  5. Step 5: Solve for x
    x = 83,309,274,452.00/382,018.47
  6. Step 6: Final answer
    x = 218,076.56

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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.