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Finding the Fourth Proportional to 311,946.02, 430,380.81 and 254,486.02

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Solution

The fourth proportional to 311,946.02, 430,380.81 and 254,486.02 is: 351,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946.02 : 430,380.81 = 254,486.02 : x
  2. Step 2: Convert to fraction form
    311,946.02/430,380.81 = 254,486.02/x
  3. Step 3: Cross multiply
    311,946.02x = 430,380.81 × 254,486.02
  4. Step 4: Simplify right side
    311,946.02x = 109,525,899,421.28
  5. Step 5: Solve for x
    x = 109,525,899,421.28/311,946.02
  6. Step 6: Final answer
    x = 351,105.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.