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Finding the Fourth Proportional to 310,046.64, 427,739.04 and 195,122.76

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Solution

The fourth proportional to 310,046.64, 427,739.04 and 195,122.76 is: 269,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,046.64 : 427,739.04 = 195,122.76 : x
  2. Step 2: Convert to fraction form
    310,046.64/427,739.04 = 195,122.76/x
  3. Step 3: Cross multiply
    310,046.64x = 427,739.04 × 195,122.76
  4. Step 4: Simplify right side
    310,046.64x = 83,461,622,044.55
  5. Step 5: Solve for x
    x = 83,461,622,044.55/310,046.64
  6. Step 6: Final answer
    x = 269,190.54

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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.