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Finding the Fourth Proportional to 393,266.40, 589,899.60 and 156,778.80

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Solution

The fourth proportional to 393,266.40, 589,899.60 and 156,778.80 is: 235,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,266.40 : 589,899.60 = 156,778.80 : x
  2. Step 2: Convert to fraction form
    393,266.40/589,899.60 = 156,778.80/x
  3. Step 3: Cross multiply
    393,266.40x = 589,899.60 × 156,778.80
  4. Step 4: Simplify right side
    393,266.40x = 92,483,751,408.48
  5. Step 5: Solve for x
    x = 92,483,751,408.48/393,266.40
  6. Step 6: Final answer
    x = 235,168.20

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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.