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Finding the Fourth Proportional to 646,738.80, 970,108.20 and 203,506.80

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Solution

The fourth proportional to 646,738.80, 970,108.20 and 203,506.80 is: 305,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,738.80 : 970,108.20 = 203,506.80 : x
  2. Step 2: Convert to fraction form
    646,738.80/970,108.20 = 203,506.80/x
  3. Step 3: Cross multiply
    646,738.80x = 970,108.20 × 203,506.80
  4. Step 4: Simplify right side
    646,738.80x = 197,423,615,435.76
  5. Step 5: Solve for x
    x = 197,423,615,435.76/646,738.80
  6. Step 6: Final answer
    x = 305,260.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.