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Finding the Fourth Proportional to 650,390.08, 974,771.82 and 313,367.44

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Solution

The fourth proportional to 650,390.08, 974,771.82 and 313,367.44 is: 469,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,390.08 : 974,771.82 = 313,367.44 : x
  2. Step 2: Convert to fraction form
    650,390.08/974,771.82 = 313,367.44/x
  3. Step 3: Cross multiply
    650,390.08x = 974,771.82 × 313,367.44
  4. Step 4: Simplify right side
    650,390.08x = 305,461,749,817.54
  5. Step 5: Solve for x
    x = 305,461,749,817.54/650,390.08
  6. Step 6: Final answer
    x = 469,659.30

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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.