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Finding the Fourth Proportional to 285,265.37, 393,692.63 and 157,940.98

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Solution

The fourth proportional to 285,265.37, 393,692.63 and 157,940.98 is: 217,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,265.37 : 393,692.63 = 157,940.98 : x
  2. Step 2: Convert to fraction form
    285,265.37/393,692.63 = 157,940.98/x
  3. Step 3: Cross multiply
    285,265.37x = 393,692.63 × 157,940.98
  4. Step 4: Simplify right side
    285,265.37x = 62,180,198,027.04
  5. Step 5: Solve for x
    x = 62,180,198,027.04/285,265.37
  6. Step 6: Final answer
    x = 217,973.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.