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Finding the Fourth Proportional to 228,931.20, 343,396.80 and 216,028.80

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Solution

The fourth proportional to 228,931.20, 343,396.80 and 216,028.80 is: 324,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,931.20 : 343,396.80 = 216,028.80 : x
  2. Step 2: Convert to fraction form
    228,931.20/343,396.80 = 216,028.80/x
  3. Step 3: Cross multiply
    228,931.20x = 343,396.80 × 216,028.80
  4. Step 4: Simplify right side
    228,931.20x = 74,183,598,627.84
  5. Step 5: Solve for x
    x = 74,183,598,627.84/228,931.20
  6. Step 6: Final answer
    x = 324,043.20

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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.