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Finding the Fourth Proportional to 383,851.40, 529,543.62 and 222,613

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Solution

The fourth proportional to 383,851.40, 529,543.62 and 222,613 is: 307,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,851.40 : 529,543.62 = 222,613 : x
  2. Step 2: Convert to fraction form
    383,851.40/529,543.62 = 222,613/x
  3. Step 3: Cross multiply
    383,851.40x = 529,543.62 × 222,613
  4. Step 4: Simplify right side
    383,851.40x = 117,883,293,879.06
  5. Step 5: Solve for x
    x = 117,883,293,879.06/383,851.40
  6. Step 6: Final answer
    x = 307,106.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.