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Finding the Fourth Proportional to 516,390.60, 774,287.90 and 200,478.44

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Solution

The fourth proportional to 516,390.60, 774,287.90 and 200,478.44 is: 300,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,390.60 : 774,287.90 = 200,478.44 : x
  2. Step 2: Convert to fraction form
    516,390.60/774,287.90 = 200,478.44/x
  3. Step 3: Cross multiply
    516,390.60x = 774,287.90 × 200,478.44
  4. Step 4: Simplify right side
    516,390.60x = 155,228,030,302.88
  5. Step 5: Solve for x
    x = 155,228,030,302.88/516,390.60
  6. Step 6: Final answer
    x = 300,601.97

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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.