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Finding the Fourth Proportional to 493,404.21, 680,914.26 and 302,380.65

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Solution

The fourth proportional to 493,404.21, 680,914.26 and 302,380.65 is: 417,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,404.21 : 680,914.26 = 302,380.65 : x
  2. Step 2: Convert to fraction form
    493,404.21/680,914.26 = 302,380.65/x
  3. Step 3: Cross multiply
    493,404.21x = 680,914.26 × 302,380.65
  4. Step 4: Simplify right side
    493,404.21x = 205,895,296,533.07
  5. Step 5: Solve for x
    x = 205,895,296,533.07/493,404.21
  6. Step 6: Final answer
    x = 417,295.38

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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.