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Finding the Fourth Proportional to 231,464.80, 347,542.80 and 161,653.60

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Solution

The fourth proportional to 231,464.80, 347,542.80 and 161,653.60 is: 242,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464.80 : 347,542.80 = 161,653.60 : x
  2. Step 2: Convert to fraction form
    231,464.80/347,542.80 = 161,653.60/x
  3. Step 3: Cross multiply
    231,464.80x = 347,542.80 × 161,653.60
  4. Step 4: Simplify right side
    231,464.80x = 56,181,544,774.08
  5. Step 5: Solve for x
    x = 56,181,544,774.08/231,464.80
  6. Step 6: Final answer
    x = 242,721.76

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1.5x scale

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.