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Finding the Fourth Proportional to 283,285.20, 424,474.20 and 149,991.60

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Solution

The fourth proportional to 283,285.20, 424,474.20 and 149,991.60 is: 224,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,285.20 : 424,474.20 = 149,991.60 : x
  2. Step 2: Convert to fraction form
    283,285.20/424,474.20 = 149,991.60/x
  3. Step 3: Cross multiply
    283,285.20x = 424,474.20 × 149,991.60
  4. Step 4: Simplify right side
    283,285.20x = 63,667,564,416.72
  5. Step 5: Solve for x
    x = 63,667,564,416.72/283,285.20
  6. Step 6: Final answer
    x = 224,747.23

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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.