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Finding the Fourth Proportional to 355,106.98, 490,224.38 and 219,215.83

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Solution

The fourth proportional to 355,106.98, 490,224.38 and 219,215.83 is: 302,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,106.98 : 490,224.38 = 219,215.83 : x
  2. Step 2: Convert to fraction form
    355,106.98/490,224.38 = 219,215.83/x
  3. Step 3: Cross multiply
    355,106.98x = 490,224.38 × 219,215.83
  4. Step 4: Simplify right side
    355,106.98x = 107,464,944,347.94
  5. Step 5: Solve for x
    x = 107,464,944,347.94/355,106.98
  6. Step 6: Final answer
    x = 302,626.96

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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.