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Finding the Fourth Proportional to 469,298.43, 647,005.32 and 372,822.39

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Solution

The fourth proportional to 469,298.43, 647,005.32 and 372,822.39 is: 513,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,298.43 : 647,005.32 = 372,822.39 : x
  2. Step 2: Convert to fraction form
    469,298.43/647,005.32 = 372,822.39/x
  3. Step 3: Cross multiply
    469,298.43x = 647,005.32 × 372,822.39
  4. Step 4: Simplify right side
    469,298.43x = 241,218,069,745.12
  5. Step 5: Solve for x
    x = 241,218,069,745.12/469,298.43
  6. Step 6: Final answer
    x = 513,997.18

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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.