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Finding the Fourth Proportional to 311,847.90, 430,398.54 and 204,728.64

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Solution

The fourth proportional to 311,847.90, 430,398.54 and 204,728.64 is: 282,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,847.90 : 430,398.54 = 204,728.64 : x
  2. Step 2: Convert to fraction form
    311,847.90/430,398.54 = 204,728.64/x
  3. Step 3: Cross multiply
    311,847.90x = 430,398.54 × 204,728.64
  4. Step 4: Simplify right side
    311,847.90x = 88,114,907,752.19
  5. Step 5: Solve for x
    x = 88,114,907,752.19/311,847.90
  6. Step 6: Final answer
    x = 282,557.32

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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.