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Finding the Fourth Proportional to 647,372.16, 971,338.05 and 347,502.51

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Solution

The fourth proportional to 647,372.16, 971,338.05 and 347,502.51 is: 521,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,372.16 : 971,338.05 = 347,502.51 : x
  2. Step 2: Convert to fraction form
    647,372.16/971,338.05 = 347,502.51/x
  3. Step 3: Cross multiply
    647,372.16x = 971,338.05 × 347,502.51
  4. Step 4: Simplify right side
    647,372.16x = 337,542,410,433.51
  5. Step 5: Solve for x
    x = 337,542,410,433.51/647,372.16
  6. Step 6: Final answer
    x = 521,403.96

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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.