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Finding the Fourth Proportional to 311,107.80, 466,143.30 and 292,445.40

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Solution

The fourth proportional to 311,107.80, 466,143.30 and 292,445.40 is: 438,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,107.80 : 466,143.30 = 292,445.40 : x
  2. Step 2: Convert to fraction form
    311,107.80/466,143.30 = 292,445.40/x
  3. Step 3: Cross multiply
    311,107.80x = 466,143.30 × 292,445.40
  4. Step 4: Simplify right side
    311,107.80x = 136,321,463,825.82
  5. Step 5: Solve for x
    x = 136,321,463,825.82/311,107.80
  6. Step 6: Final answer
    x = 438,180.80

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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.