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Finding the Fourth Proportional to 698,088.98, 963,362.26 and 396,282.98

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Solution

The fourth proportional to 698,088.98, 963,362.26 and 396,282.98 is: 546,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,088.98 : 963,362.26 = 396,282.98 : x
  2. Step 2: Convert to fraction form
    698,088.98/963,362.26 = 396,282.98/x
  3. Step 3: Cross multiply
    698,088.98x = 963,362.26 × 396,282.98
  4. Step 4: Simplify right side
    698,088.98x = 381,764,070,116.09
  5. Step 5: Solve for x
    x = 381,764,070,116.09/698,088.98
  6. Step 6: Final answer
    x = 546,870.21

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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.