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Finding the Fourth Proportional to 287,977.14, 397,399.16 and 157,149.78

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Solution

The fourth proportional to 287,977.14, 397,399.16 and 157,149.78 is: 216,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,977.14 : 397,399.16 = 157,149.78 : x
  2. Step 2: Convert to fraction form
    287,977.14/397,399.16 = 157,149.78/x
  3. Step 3: Cross multiply
    287,977.14x = 397,399.16 × 157,149.78
  4. Step 4: Simplify right side
    287,977.14x = 62,451,190,566.18
  5. Step 5: Solve for x
    x = 62,451,190,566.18/287,977.14
  6. Step 6: Final answer
    x = 216,861.63

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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.