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Finding the Fourth Proportional to 352,783.44, 529,172.64 and 142,418.16

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Solution

The fourth proportional to 352,783.44, 529,172.64 and 142,418.16 is: 213,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,783.44 : 529,172.64 = 142,418.16 : x
  2. Step 2: Convert to fraction form
    352,783.44/529,172.64 = 142,418.16/x
  3. Step 3: Cross multiply
    352,783.44x = 529,172.64 × 142,418.16
  4. Step 4: Simplify right side
    352,783.44x = 75,363,793,711.14
  5. Step 5: Solve for x
    x = 75,363,793,711.14/352,783.44
  6. Step 6: Final answer
    x = 213,626.22

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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.