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Finding the Fourth Proportional to 305,847.80, 458,771.70 and 199,559.60

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Solution

The fourth proportional to 305,847.80, 458,771.70 and 199,559.60 is: 299,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,847.80 : 458,771.70 = 199,559.60 : x
  2. Step 2: Convert to fraction form
    305,847.80/458,771.70 = 199,559.60/x
  3. Step 3: Cross multiply
    305,847.80x = 458,771.70 × 199,559.60
  4. Step 4: Simplify right side
    305,847.80x = 91,552,296,943.32
  5. Step 5: Solve for x
    x = 91,552,296,943.32/305,847.80
  6. Step 6: Final answer
    x = 299,339.40

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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.