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Finding the Fourth Proportional to 245,280.30, 367,969.05 and 206,108.70

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Solution

The fourth proportional to 245,280.30, 367,969.05 and 206,108.70 is: 309,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,280.30 : 367,969.05 = 206,108.70 : x
  2. Step 2: Convert to fraction form
    245,280.30/367,969.05 = 206,108.70/x
  3. Step 3: Cross multiply
    245,280.30x = 367,969.05 × 206,108.70
  4. Step 4: Simplify right side
    245,280.30x = 75,841,622,535.74
  5. Step 5: Solve for x
    x = 75,841,622,535.74/245,280.30
  6. Step 6: Final answer
    x = 309,203.89

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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.