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Finding the Fourth Proportional to 207,412.20, 310,772.70 and 194,970.60

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Solution

The fourth proportional to 207,412.20, 310,772.70 and 194,970.60 is: 292,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,412.20 : 310,772.70 = 194,970.60 : x
  2. Step 2: Convert to fraction form
    207,412.20/310,772.70 = 194,970.60/x
  3. Step 3: Cross multiply
    207,412.20x = 310,772.70 × 194,970.60
  4. Step 4: Simplify right side
    207,412.20x = 60,591,539,782.62
  5. Step 5: Solve for x
    x = 60,591,539,782.62/207,412.20
  6. Step 6: Final answer
    x = 292,131.03

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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.