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Finding the Fourth Proportional to 320,870.98, 442,662.92 and 193,475.80

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Solution

The fourth proportional to 320,870.98, 442,662.92 and 193,475.80 is: 266,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,870.98 : 442,662.92 = 193,475.80 : x
  2. Step 2: Convert to fraction form
    320,870.98/442,662.92 = 193,475.80/x
  3. Step 3: Cross multiply
    320,870.98x = 442,662.92 × 193,475.80
  4. Step 4: Simplify right side
    320,870.98x = 85,644,563,977.12
  5. Step 5: Solve for x
    x = 85,644,563,977.12/320,870.98
  6. Step 6: Final answer
    x = 266,912.77

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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.