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Finding the Fourth Proportional to 203,459.20, 305,188.80 and 170,216.80

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Solution

The fourth proportional to 203,459.20, 305,188.80 and 170,216.80 is: 255,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,459.20 : 305,188.80 = 170,216.80 : x
  2. Step 2: Convert to fraction form
    203,459.20/305,188.80 = 170,216.80/x
  3. Step 3: Cross multiply
    203,459.20x = 305,188.80 × 170,216.80
  4. Step 4: Simplify right side
    203,459.20x = 51,948,260,931.84
  5. Step 5: Solve for x
    x = 51,948,260,931.84/203,459.20
  6. Step 6: Final answer
    x = 255,325.20

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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.