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Finding the Fourth Proportional to 647,400.30, 971,392.05 and 310,310.70

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Solution

The fourth proportional to 647,400.30, 971,392.05 and 310,310.70 is: 465,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,400.30 : 971,392.05 = 310,310.70 : x
  2. Step 2: Convert to fraction form
    647,400.30/971,392.05 = 310,310.70/x
  3. Step 3: Cross multiply
    647,400.30x = 971,392.05 × 310,310.70
  4. Step 4: Simplify right side
    647,400.30x = 301,433,347,009.94
  5. Step 5: Solve for x
    x = 301,433,347,009.94/647,400.30
  6. Step 6: Final answer
    x = 465,605.82

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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.