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Finding the Fourth Proportional to 262,381.60, 393,766.80 and 104,723.20

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Solution

The fourth proportional to 262,381.60, 393,766.80 and 104,723.20 is: 157,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,381.60 : 393,766.80 = 104,723.20 : x
  2. Step 2: Convert to fraction form
    262,381.60/393,766.80 = 104,723.20/x
  3. Step 3: Cross multiply
    262,381.60x = 393,766.80 × 104,723.20
  4. Step 4: Simplify right side
    262,381.60x = 41,236,519,349.76
  5. Step 5: Solve for x
    x = 41,236,519,349.76/262,381.60
  6. Step 6: Final answer
    x = 157,162.39

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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.