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Finding the Fourth Proportional to 307,901.20, 461,851.80 and 208,109.20

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Solution

The fourth proportional to 307,901.20, 461,851.80 and 208,109.20 is: 312,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,901.20 : 461,851.80 = 208,109.20 : x
  2. Step 2: Convert to fraction form
    307,901.20/461,851.80 = 208,109.20/x
  3. Step 3: Cross multiply
    307,901.20x = 461,851.80 × 208,109.20
  4. Step 4: Simplify right side
    307,901.20x = 96,115,608,616.56
  5. Step 5: Solve for x
    x = 96,115,608,616.56/307,901.20
  6. Step 6: Final answer
    x = 312,163.80

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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.