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Finding the Fourth Proportional to 310,542.90, 465,912.78 and 110,859

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Solution

The fourth proportional to 310,542.90, 465,912.78 and 110,859 is: 166,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,542.90 : 465,912.78 = 110,859 : x
  2. Step 2: Convert to fraction form
    310,542.90/465,912.78 = 110,859/x
  3. Step 3: Cross multiply
    310,542.90x = 465,912.78 × 110,859
  4. Step 4: Simplify right side
    310,542.90x = 51,650,624,878.02
  5. Step 5: Solve for x
    x = 51,650,624,878.02/310,542.90
  6. Step 6: Final answer
    x = 166,323.64

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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.