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Finding the Fourth Proportional to 307,817.20, 461,725.80 and 208,025.20

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Solution

The fourth proportional to 307,817.20, 461,725.80 and 208,025.20 is: 312,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,817.20 : 461,725.80 = 208,025.20 : x
  2. Step 2: Convert to fraction form
    307,817.20/461,725.80 = 208,025.20/x
  3. Step 3: Cross multiply
    307,817.20x = 461,725.80 × 208,025.20
  4. Step 4: Simplify right side
    307,817.20x = 96,050,601,890.16
  5. Step 5: Solve for x
    x = 96,050,601,890.16/307,817.20
  6. Step 6: Final answer
    x = 312,037.80

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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.