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Finding the Fourth Proportional to 279,980.42, 420,391.19 and 160,172.64

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Solution

The fourth proportional to 279,980.42, 420,391.19 and 160,172.64 is: 240,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,980.42 : 420,391.19 = 160,172.64 : x
  2. Step 2: Convert to fraction form
    279,980.42/420,391.19 = 160,172.64/x
  3. Step 3: Cross multiply
    279,980.42x = 420,391.19 × 160,172.64
  4. Step 4: Simplify right side
    279,980.42x = 67,335,167,135.47
  5. Step 5: Solve for x
    x = 67,335,167,135.47/279,980.42
  6. Step 6: Final answer
    x = 240,499.56

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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.