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Finding the Fourth Proportional to 493,415.72, 680,930.20 and 302,392.20

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Solution

The fourth proportional to 493,415.72, 680,930.20 and 302,392.20 is: 417,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,415.72 : 680,930.20 = 302,392.20 : x
  2. Step 2: Convert to fraction form
    493,415.72/680,930.20 = 302,392.20/x
  3. Step 3: Cross multiply
    493,415.72x = 680,930.20 × 302,392.20
  4. Step 4: Simplify right side
    493,415.72x = 205,907,981,224.44
  5. Step 5: Solve for x
    x = 205,907,981,224.44/493,415.72
  6. Step 6: Final answer
    x = 417,311.35

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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.