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Finding the Fourth Proportional to 306,947.70, 461,405.70 and 218,811.60

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Solution

The fourth proportional to 306,947.70, 461,405.70 and 218,811.60 is: 328,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,947.70 : 461,405.70 = 218,811.60 : x
  2. Step 2: Convert to fraction form
    306,947.70/461,405.70 = 218,811.60/x
  3. Step 3: Cross multiply
    306,947.70x = 461,405.70 × 218,811.60
  4. Step 4: Simplify right side
    306,947.70x = 100,960,919,466.12
  5. Step 5: Solve for x
    x = 100,960,919,466.12/306,947.70
  6. Step 6: Final answer
    x = 328,918.96

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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.