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Finding the Fourth Proportional to 393,324.40, 589,986.60 and 144,103.60

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Solution

The fourth proportional to 393,324.40, 589,986.60 and 144,103.60 is: 216,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,324.40 : 589,986.60 = 144,103.60 : x
  2. Step 2: Convert to fraction form
    393,324.40/589,986.60 = 144,103.60/x
  3. Step 3: Cross multiply
    393,324.40x = 589,986.60 × 144,103.60
  4. Step 4: Simplify right side
    393,324.40x = 85,019,193,011.76
  5. Step 5: Solve for x
    x = 85,019,193,011.76/393,324.40
  6. Step 6: Final answer
    x = 216,155.40

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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.