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Finding the Fourth Proportional to 446,998, 670,354.52 and 147,422.56

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Solution

The fourth proportional to 446,998, 670,354.52 and 147,422.56 is: 221,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,998 : 670,354.52 = 147,422.56 : x
  2. Step 2: Convert to fraction form
    446,998/670,354.52 = 147,422.56/x
  3. Step 3: Cross multiply
    446,998x = 670,354.52 × 147,422.56
  4. Step 4: Simplify right side
    446,998x = 98,825,379,445.97
  5. Step 5: Solve for x
    x = 98,825,379,445.97/446,998
  6. Step 6: Final answer
    x = 221,086.85

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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.