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Finding the Fourth Proportional to 407,097.90, 610,474.05 and 196,800.30

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Solution

The fourth proportional to 407,097.90, 610,474.05 and 196,800.30 is: 295,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,097.90 : 610,474.05 = 196,800.30 : x
  2. Step 2: Convert to fraction form
    407,097.90/610,474.05 = 196,800.30/x
  3. Step 3: Cross multiply
    407,097.90x = 610,474.05 × 196,800.30
  4. Step 4: Simplify right side
    407,097.90x = 120,141,476,182.22
  5. Step 5: Solve for x
    x = 120,141,476,182.22/407,097.90
  6. Step 6: Final answer
    x = 295,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.