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Finding the Fourth Proportional to 393,563.70, 590,345.55 and 156,942.90

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Solution

The fourth proportional to 393,563.70, 590,345.55 and 156,942.90 is: 235,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,563.70 : 590,345.55 = 156,942.90 : x
  2. Step 2: Convert to fraction form
    393,563.70/590,345.55 = 156,942.90/x
  3. Step 3: Cross multiply
    393,563.70x = 590,345.55 × 156,942.90
  4. Step 4: Simplify right side
    393,563.70x = 92,650,542,619.10
  5. Step 5: Solve for x
    x = 92,650,542,619.10/393,563.70
  6. Step 6: Final answer
    x = 235,414.35

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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.