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Finding the Fourth Proportional to 469,305.72, 647,593.94 and 288,025.29

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Solution

The fourth proportional to 469,305.72, 647,593.94 and 288,025.29 is: 397,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,305.72 : 647,593.94 = 288,025.29 : x
  2. Step 2: Convert to fraction form
    469,305.72/647,593.94 = 288,025.29/x
  3. Step 3: Cross multiply
    469,305.72x = 647,593.94 × 288,025.29
  4. Step 4: Simplify right side
    469,305.72x = 186,523,433,090.81
  5. Step 5: Solve for x
    x = 186,523,433,090.81/469,305.72
  6. Step 6: Final answer
    x = 397,445.47

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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.