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Finding the Fourth Proportional to 778,409.54, 1,074,204.68 and 420,713.54

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Solution

The fourth proportional to 778,409.54, 1,074,204.68 and 420,713.54 is: 580,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,409.54 : 1,074,204.68 = 420,713.54 : x
  2. Step 2: Convert to fraction form
    778,409.54/1,074,204.68 = 420,713.54/x
  3. Step 3: Cross multiply
    778,409.54x = 1,074,204.68 × 420,713.54
  4. Step 4: Simplify right side
    778,409.54x = 451,932,453,607.37
  5. Step 5: Solve for x
    x = 451,932,453,607.37/778,409.54
  6. Step 6: Final answer
    x = 580,584.42

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Half scale
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Double scale
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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.