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Finding the Fourth Proportional to 312,105.34, 430,705.34 and 168,865.38

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Solution

The fourth proportional to 312,105.34, 430,705.34 and 168,865.38 is: 233,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,105.34 : 430,705.34 = 168,865.38 : x
  2. Step 2: Convert to fraction form
    312,105.34/430,705.34 = 168,865.38/x
  3. Step 3: Cross multiply
    312,105.34x = 430,705.34 × 168,865.38
  4. Step 4: Simplify right side
    312,105.34x = 72,731,221,329.29
  5. Step 5: Solve for x
    x = 72,731,221,329.29/312,105.34
  6. Step 6: Final answer
    x = 233,034.21

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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.