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Finding the Fourth Proportional to 296,130, 408,659.40 and 161,994

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Solution

The fourth proportional to 296,130, 408,659.40 and 161,994 is: 223,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,130 : 408,659.40 = 161,994 : x
  2. Step 2: Convert to fraction form
    296,130/408,659.40 = 161,994/x
  3. Step 3: Cross multiply
    296,130x = 408,659.40 × 161,994
  4. Step 4: Simplify right side
    296,130x = 66,200,370,843.60
  5. Step 5: Solve for x
    x = 66,200,370,843.60/296,130
  6. Step 6: Final answer
    x = 223,551.72

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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.