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Finding the Fourth Proportional to 305,667.64, 458,190.42 and 283,039.48

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Solution

The fourth proportional to 305,667.64, 458,190.42 and 283,039.48 is: 424,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,667.64 : 458,190.42 = 283,039.48 : x
  2. Step 2: Convert to fraction form
    305,667.64/458,190.42 = 283,039.48/x
  3. Step 3: Cross multiply
    305,667.64x = 458,190.42 × 283,039.48
  4. Step 4: Simplify right side
    305,667.64x = 129,685,978,217.78
  5. Step 5: Solve for x
    x = 129,685,978,217.78/305,667.64
  6. Step 6: Final answer
    x = 424,271.21

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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.