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Finding the Fourth Proportional to 446,643.45, 669,821.20 and 147,052.70

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Solution

The fourth proportional to 446,643.45, 669,821.20 and 147,052.70 is: 220,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,643.45 : 669,821.20 = 147,052.70 : x
  2. Step 2: Convert to fraction form
    446,643.45/669,821.20 = 147,052.70/x
  3. Step 3: Cross multiply
    446,643.45x = 669,821.20 × 147,052.70
  4. Step 4: Simplify right side
    446,643.45x = 98,499,014,772.33
  5. Step 5: Solve for x
    x = 98,499,014,772.33/446,643.45
  6. Step 6: Final answer
    x = 220,531.65

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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.