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Finding the Fourth Proportional to 415,683.20, 622,603.20 and 166,236.80

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Solution

The fourth proportional to 415,683.20, 622,603.20 and 166,236.80 is: 248,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,683.20 : 622,603.20 = 166,236.80 : x
  2. Step 2: Convert to fraction form
    415,683.20/622,603.20 = 166,236.80/x
  3. Step 3: Cross multiply
    415,683.20x = 622,603.20 × 166,236.80
  4. Step 4: Simplify right side
    415,683.20x = 103,499,563,637.76
  5. Step 5: Solve for x
    x = 103,499,563,637.76/415,683.20
  6. Step 6: Final answer
    x = 248,986.64

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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.