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Finding the Fourth Proportional to 270,628.49, 405,944.42 and 70,947.08

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Solution

The fourth proportional to 270,628.49, 405,944.42 and 70,947.08 is: 106,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,628.49 : 405,944.42 = 70,947.08 : x
  2. Step 2: Convert to fraction form
    270,628.49/405,944.42 = 70,947.08/x
  3. Step 3: Cross multiply
    270,628.49x = 405,944.42 × 70,947.08
  4. Step 4: Simplify right side
    270,628.49x = 28,800,572,433.52
  5. Step 5: Solve for x
    x = 28,800,572,433.52/270,628.49
  6. Step 6: Final answer
    x = 106,421.07

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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.