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Finding the Fourth Proportional to 721,833.64, 995,901.42 and 419,969.32

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Solution

The fourth proportional to 721,833.64, 995,901.42 and 419,969.32 is: 579,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,833.64 : 995,901.42 = 419,969.32 : x
  2. Step 2: Convert to fraction form
    721,833.64/995,901.42 = 419,969.32/x
  3. Step 3: Cross multiply
    721,833.64x = 995,901.42 × 419,969.32
  4. Step 4: Simplify right side
    721,833.64x = 418,248,042,144.43
  5. Step 5: Solve for x
    x = 418,248,042,144.43/721,833.64
  6. Step 6: Final answer
    x = 579,424.43

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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.