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Finding the Fourth Proportional to 647,564.30, 971,346.45 and 505,846.70

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Solution

The fourth proportional to 647,564.30, 971,346.45 and 505,846.70 is: 758,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,564.30 : 971,346.45 = 505,846.70 : x
  2. Step 2: Convert to fraction form
    647,564.30/971,346.45 = 505,846.70/x
  3. Step 3: Cross multiply
    647,564.30x = 971,346.45 × 505,846.70
  4. Step 4: Simplify right side
    647,564.30x = 491,352,396,289.22
  5. Step 5: Solve for x
    x = 491,352,396,289.22/647,564.30
  6. Step 6: Final answer
    x = 758,770.05

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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.