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Finding the Fourth Proportional to 279,969.30, 419,953.95 and 92,980.80

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Solution

The fourth proportional to 279,969.30, 419,953.95 and 92,980.80 is: 139,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.30 : 419,953.95 = 92,980.80 : x
  2. Step 2: Convert to fraction form
    279,969.30/419,953.95 = 92,980.80/x
  3. Step 3: Cross multiply
    279,969.30x = 419,953.95 × 92,980.80
  4. Step 4: Simplify right side
    279,969.30x = 39,047,654,234.16
  5. Step 5: Solve for x
    x = 39,047,654,234.16/279,969.30
  6. Step 6: Final answer
    x = 139,471.20

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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.