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Finding the Fourth Proportional to 446,747.39, 669,977 and 147,156.74

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Solution

The fourth proportional to 446,747.39, 669,977 and 147,156.74 is: 220,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,747.39 : 669,977 = 147,156.74 : x
  2. Step 2: Convert to fraction form
    446,747.39/669,977 = 147,156.74/x
  3. Step 3: Cross multiply
    446,747.39x = 669,977 × 147,156.74
  4. Step 4: Simplify right side
    446,747.39x = 98,591,631,194.98
  5. Step 5: Solve for x
    x = 98,591,631,194.98/446,747.39
  6. Step 6: Final answer
    x = 220,687.65

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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.