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Finding the Fourth Proportional to 208,099.20, 312,225.60 and 200,419.20

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Solution

The fourth proportional to 208,099.20, 312,225.60 and 200,419.20 is: 300,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.20 : 312,225.60 = 200,419.20 : x
  2. Step 2: Convert to fraction form
    208,099.20/312,225.60 = 200,419.20/x
  3. Step 3: Cross multiply
    208,099.20x = 312,225.60 × 200,419.20
  4. Step 4: Simplify right side
    208,099.20x = 62,576,004,971.52
  5. Step 5: Solve for x
    x = 62,576,004,971.52/208,099.20
  6. Step 6: Final answer
    x = 300,702.77

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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.