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Finding the Fourth Proportional to 427,338.88, 641,021.44 and 146,852.16

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Solution

The fourth proportional to 427,338.88, 641,021.44 and 146,852.16 is: 220,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,338.88 : 641,021.44 = 146,852.16 : x
  2. Step 2: Convert to fraction form
    427,338.88/641,021.44 = 146,852.16/x
  3. Step 3: Cross multiply
    427,338.88x = 641,021.44 × 146,852.16
  4. Step 4: Simplify right side
    427,338.88x = 94,135,383,070.31
  5. Step 5: Solve for x
    x = 94,135,383,070.31/427,338.88
  6. Step 6: Final answer
    x = 220,282.75

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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.