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Finding the Fourth Proportional to 262,396.80, 393,364.80 and 157,257.60

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Solution

The fourth proportional to 262,396.80, 393,364.80 and 157,257.60 is: 235,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,396.80 : 393,364.80 = 157,257.60 : x
  2. Step 2: Convert to fraction form
    262,396.80/393,364.80 = 157,257.60/x
  3. Step 3: Cross multiply
    262,396.80x = 393,364.80 × 157,257.60
  4. Step 4: Simplify right side
    262,396.80x = 61,859,604,372.48
  5. Step 5: Solve for x
    x = 61,859,604,372.48/262,396.80
  6. Step 6: Final answer
    x = 235,748.32

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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.