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Finding the Fourth Proportional to 312,313, 430,991.94 and 178,174.12

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Solution

The fourth proportional to 312,313, 430,991.94 and 178,174.12 is: 245,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,313 : 430,991.94 = 178,174.12 : x
  2. Step 2: Convert to fraction form
    312,313/430,991.94 = 178,174.12/x
  3. Step 3: Cross multiply
    312,313x = 430,991.94 × 178,174.12
  4. Step 4: Simplify right side
    312,313x = 76,791,609,636.59
  5. Step 5: Solve for x
    x = 76,791,609,636.59/312,313
  6. Step 6: Final answer
    x = 245,880.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.