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Finding the Fourth Proportional to 207,406.20, 310,763.70 and 194,964.60

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Solution

The fourth proportional to 207,406.20, 310,763.70 and 194,964.60 is: 292,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,406.20 : 310,763.70 = 194,964.60 : x
  2. Step 2: Convert to fraction form
    207,406.20/310,763.70 = 194,964.60/x
  3. Step 3: Cross multiply
    207,406.20x = 310,763.70 × 194,964.60
  4. Step 4: Simplify right side
    207,406.20x = 60,587,920,465.02
  5. Step 5: Solve for x
    x = 60,587,920,465.02/207,406.20
  6. Step 6: Final answer
    x = 292,122.03

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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.