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Finding the Fourth Proportional to 393,002.91, 589,628.91 and 140,277.80

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Solution

The fourth proportional to 393,002.91, 589,628.91 and 140,277.80 is: 210,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,002.91 : 589,628.91 = 140,277.80 : x
  2. Step 2: Convert to fraction form
    393,002.91/589,628.91 = 140,277.80/x
  3. Step 3: Cross multiply
    393,002.91x = 589,628.91 × 140,277.80
  4. Step 4: Simplify right side
    393,002.91x = 82,711,848,311.31
  5. Step 5: Solve for x
    x = 82,711,848,311.31/393,002.91
  6. Step 6: Final answer
    x = 210,461.16

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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.