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Finding the Fourth Proportional to 307,753.50, 461,690.10 and 118,200

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Solution

The fourth proportional to 307,753.50, 461,690.10 and 118,200 is: 177,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,753.50 : 461,690.10 = 118,200 : x
  2. Step 2: Convert to fraction form
    307,753.50/461,690.10 = 118,200/x
  3. Step 3: Cross multiply
    307,753.50x = 461,690.10 × 118,200
  4. Step 4: Simplify right side
    307,753.50x = 54,571,769,820
  5. Step 5: Solve for x
    x = 54,571,769,820/307,753.50
  6. Step 6: Final answer
    x = 177,322.99

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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.