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Finding the Fourth Proportional to 493,399.09, 680,907.21 and 302,375.57

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Solution

The fourth proportional to 493,399.09, 680,907.21 and 302,375.57 is: 417,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,399.09 : 680,907.21 = 302,375.57 : x
  2. Step 2: Convert to fraction form
    493,399.09/680,907.21 = 302,375.57/x
  3. Step 3: Cross multiply
    493,399.09x = 680,907.21 × 302,375.57
  4. Step 4: Simplify right side
    493,399.09x = 205,889,705,740.86
  5. Step 5: Solve for x
    x = 205,889,705,740.86/493,399.09
  6. Step 6: Final answer
    x = 417,288.38

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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.