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Finding the Fourth Proportional to 698,090.49, 963,364.34 and 396,284.49

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Solution

The fourth proportional to 698,090.49, 963,364.34 and 396,284.49 is: 546,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,090.49 : 963,364.34 = 396,284.49 : x
  2. Step 2: Convert to fraction form
    698,090.49/963,364.34 = 396,284.49/x
  3. Step 3: Cross multiply
    698,090.49x = 963,364.34 × 396,284.49
  4. Step 4: Simplify right side
    698,090.49x = 381,766,344,179.66
  5. Step 5: Solve for x
    x = 381,766,344,179.66/698,090.49
  6. Step 6: Final answer
    x = 546,872.29

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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.