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Finding the Fourth Proportional to 213,732.56, 319,020.36 and 188,518.34

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Solution

The fourth proportional to 213,732.56, 319,020.36 and 188,518.34 is: 281,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732.56 : 319,020.36 = 188,518.34 : x
  2. Step 2: Convert to fraction form
    213,732.56/319,020.36 = 188,518.34/x
  3. Step 3: Cross multiply
    213,732.56x = 319,020.36 × 188,518.34
  4. Step 4: Simplify right side
    213,732.56x = 60,141,188,693.40
  5. Step 5: Solve for x
    x = 60,141,188,693.40/213,732.56
  6. Step 6: Final answer
    x = 281,385.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.