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Finding the Fourth Proportional to 442,906.90, 664,457.55 and 143,401.30

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Solution

The fourth proportional to 442,906.90, 664,457.55 and 143,401.30 is: 215,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.90 : 664,457.55 = 143,401.30 : x
  2. Step 2: Convert to fraction form
    442,906.90/664,457.55 = 143,401.30/x
  3. Step 3: Cross multiply
    442,906.90x = 664,457.55 × 143,401.30
  4. Step 4: Simplify right side
    442,906.90x = 95,284,076,464.82
  5. Step 5: Solve for x
    x = 95,284,076,464.82/442,906.90
  6. Step 6: Final answer
    x = 215,133.42

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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.