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Finding the Fourth Proportional to 656,640.64, 906,164.07 and 354,834.64

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Solution

The fourth proportional to 656,640.64, 906,164.07 and 354,834.64 is: 489,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,640.64 : 906,164.07 = 354,834.64 : x
  2. Step 2: Convert to fraction form
    656,640.64/906,164.07 = 354,834.64/x
  3. Step 3: Cross multiply
    656,640.64x = 906,164.07 × 354,834.64
  4. Step 4: Simplify right side
    656,640.64x = 321,538,401,559.39
  5. Step 5: Solve for x
    x = 321,538,401,559.39/656,640.64
  6. Step 6: Final answer
    x = 489,671.80

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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.