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Finding the Fourth Proportional to 212,103.28, 317,462.64 and 155,928.52

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Solution

The fourth proportional to 212,103.28, 317,462.64 and 155,928.52 is: 233,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,103.28 : 317,462.64 = 155,928.52 : x
  2. Step 2: Convert to fraction form
    212,103.28/317,462.64 = 155,928.52/x
  3. Step 3: Cross multiply
    212,103.28x = 317,462.64 × 155,928.52
  4. Step 4: Simplify right side
    212,103.28x = 49,501,479,610.49
  5. Step 5: Solve for x
    x = 49,501,479,610.49/212,103.28
  6. Step 6: Final answer
    x = 233,383.85

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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.