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Finding the Fourth Proportional to 446,057.96, 668,946 and 146,489.18

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Solution

The fourth proportional to 446,057.96, 668,946 and 146,489.18 is: 219,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,057.96 : 668,946 = 146,489.18 : x
  2. Step 2: Convert to fraction form
    446,057.96/668,946 = 146,489.18/x
  3. Step 3: Cross multiply
    446,057.96x = 668,946 × 146,489.18
  4. Step 4: Simplify right side
    446,057.96x = 97,993,351,004.28
  5. Step 5: Solve for x
    x = 97,993,351,004.28/446,057.96
  6. Step 6: Final answer
    x = 219,687.48

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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.