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Finding the Fourth Proportional to 446,309.88, 669,432.42 and 146,787

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Solution

The fourth proportional to 446,309.88, 669,432.42 and 146,787 is: 220,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,309.88 : 669,432.42 = 146,787 : x
  2. Step 2: Convert to fraction form
    446,309.88/669,432.42 = 146,787/x
  3. Step 3: Cross multiply
    446,309.88x = 669,432.42 × 146,787
  4. Step 4: Simplify right side
    446,309.88x = 98,263,976,634.54
  5. Step 5: Solve for x
    x = 98,263,976,634.54/446,309.88
  6. Step 6: Final answer
    x = 220,169.84

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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.