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Finding the Fourth Proportional to 275,296.40, 412,944.60 and 205,312.40

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Solution

The fourth proportional to 275,296.40, 412,944.60 and 205,312.40 is: 307,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,296.40 : 412,944.60 = 205,312.40 : x
  2. Step 2: Convert to fraction form
    275,296.40/412,944.60 = 205,312.40/x
  3. Step 3: Cross multiply
    275,296.40x = 412,944.60 × 205,312.40
  4. Step 4: Simplify right side
    275,296.40x = 84,782,646,893.04
  5. Step 5: Solve for x
    x = 84,782,646,893.04/275,296.40
  6. Step 6: Final answer
    x = 307,968.60

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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.