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Finding the Fourth Proportional to 207,820.40, 311,730.60 and 163,583.60

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Solution

The fourth proportional to 207,820.40, 311,730.60 and 163,583.60 is: 245,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,820.40 : 311,730.60 = 163,583.60 : x
  2. Step 2: Convert to fraction form
    207,820.40/311,730.60 = 163,583.60/x
  3. Step 3: Cross multiply
    207,820.40x = 311,730.60 × 163,583.60
  4. Step 4: Simplify right side
    207,820.40x = 50,994,013,778.16
  5. Step 5: Solve for x
    x = 50,994,013,778.16/207,820.40
  6. Step 6: Final answer
    x = 245,375.40

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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.