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Finding the Fourth Proportional to 392,991.90, 589,487.85 and 143,771.10

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Solution

The fourth proportional to 392,991.90, 589,487.85 and 143,771.10 is: 215,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,991.90 : 589,487.85 = 143,771.10 : x
  2. Step 2: Convert to fraction form
    392,991.90/589,487.85 = 143,771.10/x
  3. Step 3: Cross multiply
    392,991.90x = 589,487.85 × 143,771.10
  4. Step 4: Simplify right side
    392,991.90x = 84,751,316,631.14
  5. Step 5: Solve for x
    x = 84,751,316,631.14/392,991.90
  6. Step 6: Final answer
    x = 215,656.65

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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.