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Finding the Fourth Proportional to 311,984.80, 467,977.20 and 292,301.80

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Solution

The fourth proportional to 311,984.80, 467,977.20 and 292,301.80 is: 438,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,984.80 : 467,977.20 = 292,301.80 : x
  2. Step 2: Convert to fraction form
    311,984.80/467,977.20 = 292,301.80/x
  3. Step 3: Cross multiply
    311,984.80x = 467,977.20 × 292,301.80
  4. Step 4: Simplify right side
    311,984.80x = 136,790,577,918.96
  5. Step 5: Solve for x
    x = 136,790,577,918.96/311,984.80
  6. Step 6: Final answer
    x = 438,452.70

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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.