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Finding the Fourth Proportional to 656,786.49, 906,364.94 and 354,980.49

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Solution

The fourth proportional to 656,786.49, 906,364.94 and 354,980.49 is: 489,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,786.49 : 906,364.94 = 354,980.49 : x
  2. Step 2: Convert to fraction form
    656,786.49/906,364.94 = 354,980.49/x
  3. Step 3: Cross multiply
    656,786.49x = 906,364.94 × 354,980.49
  4. Step 4: Simplify right side
    656,786.49x = 321,741,870,520.02
  5. Step 5: Solve for x
    x = 321,741,870,520.02/656,786.49
  6. Step 6: Final answer
    x = 489,872.85

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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.