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Finding the Fourth Proportional to 647,345.30, 971,309.55 and 310,255.70

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Solution

The fourth proportional to 647,345.30, 971,309.55 and 310,255.70 is: 465,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,345.30 : 971,309.55 = 310,255.70 : x
  2. Step 2: Convert to fraction form
    647,345.30/971,309.55 = 310,255.70/x
  3. Step 3: Cross multiply
    647,345.30x = 971,309.55 × 310,255.70
  4. Step 4: Simplify right side
    647,345.30x = 301,354,324,351.94
  5. Step 5: Solve for x
    x = 301,354,324,351.94/647,345.30
  6. Step 6: Final answer
    x = 465,523.31

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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.