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Finding the Fourth Proportional to 296,056, 408,557.28 and 161,920

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Solution

The fourth proportional to 296,056, 408,557.28 and 161,920 is: 223,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,056 : 408,557.28 = 161,920 : x
  2. Step 2: Convert to fraction form
    296,056/408,557.28 = 161,920/x
  3. Step 3: Cross multiply
    296,056x = 408,557.28 × 161,920
  4. Step 4: Simplify right side
    296,056x = 66,153,594,777.60
  5. Step 5: Solve for x
    x = 66,153,594,777.60/296,056
  6. Step 6: Final answer
    x = 223,449.60

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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.