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Finding the Fourth Proportional to 393,504.96, 589,906.80 and 144,128.64

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Solution

The fourth proportional to 393,504.96, 589,906.80 and 144,128.64 is: 216,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,504.96 : 589,906.80 = 144,128.64 : x
  2. Step 2: Convert to fraction form
    393,504.96/589,906.80 = 144,128.64/x
  3. Step 3: Cross multiply
    393,504.96x = 589,906.80 × 144,128.64
  4. Step 4: Simplify right side
    393,504.96x = 85,022,464,810.75
  5. Step 5: Solve for x
    x = 85,022,464,810.75/393,504.96
  6. Step 6: Final answer
    x = 216,064.53

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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.