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Finding the Fourth Proportional to 407,730.30, 611,692.65 and 197,195.10

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Solution

The fourth proportional to 407,730.30, 611,692.65 and 197,195.10 is: 295,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.30 : 611,692.65 = 197,195.10 : x
  2. Step 2: Convert to fraction form
    407,730.30/611,692.65 = 197,195.10/x
  3. Step 3: Cross multiply
    407,730.30x = 611,692.65 × 197,195.10
  4. Step 4: Simplify right side
    407,730.30x = 120,622,793,286.02
  5. Step 5: Solve for x
    x = 120,622,793,286.02/407,730.30
  6. Step 6: Final answer
    x = 295,839.66

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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.