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Finding the Fourth Proportional to 255,655.20, 383,871.60 and 196,557.60

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Solution

The fourth proportional to 255,655.20, 383,871.60 and 196,557.60 is: 295,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,655.20 : 383,871.60 = 196,557.60 : x
  2. Step 2: Convert to fraction form
    255,655.20/383,871.60 = 196,557.60/x
  3. Step 3: Cross multiply
    255,655.20x = 383,871.60 × 196,557.60
  4. Step 4: Simplify right side
    255,655.20x = 75,452,880,404.16
  5. Step 5: Solve for x
    x = 75,452,880,404.16/255,655.20
  6. Step 6: Final answer
    x = 295,135.32

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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.