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Finding the Fourth Proportional to 369,216.50, 509,518.78 and 199,450.64

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Solution

The fourth proportional to 369,216.50, 509,518.78 and 199,450.64 is: 275,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,216.50 : 509,518.78 = 199,450.64 : x
  2. Step 2: Convert to fraction form
    369,216.50/509,518.78 = 199,450.64/x
  3. Step 3: Cross multiply
    369,216.50x = 509,518.78 × 199,450.64
  4. Step 4: Simplify right side
    369,216.50x = 101,623,846,763.02
  5. Step 5: Solve for x
    x = 101,623,846,763.02/369,216.50
  6. Step 6: Final answer
    x = 275,241.89

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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.