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Finding the Fourth Proportional to 480,861.86, 721,358.41 and 200,313.50

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Solution

The fourth proportional to 480,861.86, 721,358.41 and 200,313.50 is: 300,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,861.86 : 721,358.41 = 200,313.50 : x
  2. Step 2: Convert to fraction form
    480,861.86/721,358.41 = 200,313.50/x
  3. Step 3: Cross multiply
    480,861.86x = 721,358.41 × 200,313.50
  4. Step 4: Simplify right side
    480,861.86x = 144,497,827,861.54
  5. Step 5: Solve for x
    x = 144,497,827,861.54/480,861.86
  6. Step 6: Final answer
    x = 300,497.59

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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.