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Finding the Fourth Proportional to 213,453.46, 319,485.12 and 157,271.14

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Solution

The fourth proportional to 213,453.46, 319,485.12 and 157,271.14 is: 235,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,453.46 : 319,485.12 = 157,271.14 : x
  2. Step 2: Convert to fraction form
    213,453.46/319,485.12 = 157,271.14/x
  3. Step 3: Cross multiply
    213,453.46x = 319,485.12 × 157,271.14
  4. Step 4: Simplify right side
    213,453.46x = 50,245,789,035.44
  5. Step 5: Solve for x
    x = 50,245,789,035.44/213,453.46
  6. Step 6: Final answer
    x = 235,394.59

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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.