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Finding the Fourth Proportional to 306,064.10, 459,096.15 and 221,427.20

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Solution

The fourth proportional to 306,064.10, 459,096.15 and 221,427.20 is: 332,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064.10 : 459,096.15 = 221,427.20 : x
  2. Step 2: Convert to fraction form
    306,064.10/459,096.15 = 221,427.20/x
  3. Step 3: Cross multiply
    306,064.10x = 459,096.15 × 221,427.20
  4. Step 4: Simplify right side
    306,064.10x = 101,656,375,025.28
  5. Step 5: Solve for x
    x = 101,656,375,025.28/306,064.10
  6. Step 6: Final answer
    x = 332,140.80

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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.