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Finding the Fourth Proportional to 698,508, 963,942.26 and 396,702

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Solution

The fourth proportional to 698,508, 963,942.26 and 396,702 is: 547,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,508 : 963,942.26 = 396,702 : x
  2. Step 2: Convert to fraction form
    698,508/963,942.26 = 396,702/x
  3. Step 3: Cross multiply
    698,508x = 963,942.26 × 396,702
  4. Step 4: Simplify right side
    698,508x = 382,397,820,443.01
  5. Step 5: Solve for x
    x = 382,397,820,443.01/698,508
  6. Step 6: Final answer
    x = 547,449.45

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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.