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Finding the Fourth Proportional to 263,257.60, 394,886.40 and 156,969.40

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Solution

The fourth proportional to 263,257.60, 394,886.40 and 156,969.40 is: 235,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,257.60 : 394,886.40 = 156,969.40 : x
  2. Step 2: Convert to fraction form
    263,257.60/394,886.40 = 156,969.40/x
  3. Step 3: Cross multiply
    263,257.60x = 394,886.40 × 156,969.40
  4. Step 4: Simplify right side
    263,257.60x = 61,985,081,276.16
  5. Step 5: Solve for x
    x = 61,985,081,276.16/263,257.60
  6. Step 6: Final answer
    x = 235,454.10

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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.