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Finding the Fourth Proportional to 294,220.80, 405,907.20 and 192,211.20

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Solution

The fourth proportional to 294,220.80, 405,907.20 and 192,211.20 is: 265,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,220.80 : 405,907.20 = 192,211.20 : x
  2. Step 2: Convert to fraction form
    294,220.80/405,907.20 = 192,211.20/x
  3. Step 3: Cross multiply
    294,220.80x = 405,907.20 × 192,211.20
  4. Step 4: Simplify right side
    294,220.80x = 78,019,910,000.64
  5. Step 5: Solve for x
    x = 78,019,910,000.64/294,220.80
  6. Step 6: Final answer
    x = 265,174.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.