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Finding the Fourth Proportional to 270,686.16, 406,027 and 211,571.52

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Solution

The fourth proportional to 270,686.16, 406,027 and 211,571.52 is: 317,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,686.16 : 406,027 = 211,571.52 : x
  2. Step 2: Convert to fraction form
    270,686.16/406,027 = 211,571.52/x
  3. Step 3: Cross multiply
    270,686.16x = 406,027 × 211,571.52
  4. Step 4: Simplify right side
    270,686.16x = 85,903,749,551.04
  5. Step 5: Solve for x
    x = 85,903,749,551.04/270,686.16
  6. Step 6: Final answer
    x = 317,355.53

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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.