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Finding the Fourth Proportional to 207,989.60, 311,984.40 and 176,496.80

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Solution

The fourth proportional to 207,989.60, 311,984.40 and 176,496.80 is: 264,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,989.60 : 311,984.40 = 176,496.80 : x
  2. Step 2: Convert to fraction form
    207,989.60/311,984.40 = 176,496.80/x
  3. Step 3: Cross multiply
    207,989.60x = 311,984.40 × 176,496.80
  4. Step 4: Simplify right side
    207,989.60x = 55,064,248,249.92
  5. Step 5: Solve for x
    x = 55,064,248,249.92/207,989.60
  6. Step 6: Final answer
    x = 264,745.20

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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.