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Finding the Fourth Proportional to 446,751.36, 669,164.72 and 209,738.88

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Solution

The fourth proportional to 446,751.36, 669,164.72 and 209,738.88 is: 314,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,751.36 : 669,164.72 = 209,738.88 : x
  2. Step 2: Convert to fraction form
    446,751.36/669,164.72 = 209,738.88/x
  3. Step 3: Cross multiply
    446,751.36x = 669,164.72 × 209,738.88
  4. Step 4: Simplify right side
    446,751.36x = 140,349,858,908.31
  5. Step 5: Solve for x
    x = 140,349,858,908.31/446,751.36
  6. Step 6: Final answer
    x = 314,156.53

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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.