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Finding the Fourth Proportional to 355,107.98, 490,225.76 and 219,216.83

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Solution

The fourth proportional to 355,107.98, 490,225.76 and 219,216.83 is: 302,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,107.98 : 490,225.76 = 219,216.83 : x
  2. Step 2: Convert to fraction form
    355,107.98/490,225.76 = 219,216.83/x
  3. Step 3: Cross multiply
    355,107.98x = 490,225.76 × 219,216.83
  4. Step 4: Simplify right side
    355,107.98x = 107,465,737,091.54
  5. Step 5: Solve for x
    x = 107,465,737,091.54/355,107.98
  6. Step 6: Final answer
    x = 302,628.34

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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.