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Finding the Fourth Proportional to 419,166.36, 628,751.16 and 219,545.64

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Solution

The fourth proportional to 419,166.36, 628,751.16 and 219,545.64 is: 329,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,166.36 : 628,751.16 = 219,545.64 : x
  2. Step 2: Convert to fraction form
    419,166.36/628,751.16 = 219,545.64/x
  3. Step 3: Cross multiply
    419,166.36x = 628,751.16 × 219,545.64
  4. Step 4: Simplify right side
    419,166.36x = 138,039,575,822.94
  5. Step 5: Solve for x
    x = 138,039,575,822.94/419,166.36
  6. Step 6: Final answer
    x = 329,319.31

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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.