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Finding the Fourth Proportional to 836,663, 1,157,634.96 and 729,456.32

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Solution

The fourth proportional to 836,663, 1,157,634.96 and 729,456.32 is: 1,009,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,663 : 1,157,634.96 = 729,456.32 : x
  2. Step 2: Convert to fraction form
    836,663/1,157,634.96 = 729,456.32/x
  3. Step 3: Cross multiply
    836,663x = 1,157,634.96 × 729,456.32
  4. Step 4: Simplify right side
    836,663x = 844,444,137,824.95
  5. Step 5: Solve for x
    x = 844,444,137,824.95/836,663
  6. Step 6: Final answer
    x = 1,009,300.21

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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.