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Finding the Fourth Proportional to 213,732.38, 319,020.08 and 188,518.16

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Solution

The fourth proportional to 213,732.38, 319,020.08 and 188,518.16 is: 281,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732.38 : 319,020.08 = 188,518.16 : x
  2. Step 2: Convert to fraction form
    213,732.38/319,020.08 = 188,518.16/x
  3. Step 3: Cross multiply
    213,732.38x = 319,020.08 × 188,518.16
  4. Step 4: Simplify right side
    213,732.38x = 60,141,076,889.55
  5. Step 5: Solve for x
    x = 60,141,076,889.55/213,732.38
  6. Step 6: Final answer
    x = 281,384.97

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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.