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Finding the Fourth Proportional to 471,663, 651,327.12 and 299,636.64

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Solution

The fourth proportional to 471,663, 651,327.12 and 299,636.64 is: 413,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,663 : 651,327.12 = 299,636.64 : x
  2. Step 2: Convert to fraction form
    471,663/651,327.12 = 299,636.64/x
  3. Step 3: Cross multiply
    471,663x = 651,327.12 × 299,636.64
  4. Step 4: Simplify right side
    471,663x = 195,161,469,777.68
  5. Step 5: Solve for x
    x = 195,161,469,777.68/471,663
  6. Step 6: Final answer
    x = 413,773.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.