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Finding the Fourth Proportional to 290,005.70, 435,096.03 and 195,614.78

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Solution

The fourth proportional to 290,005.70, 435,096.03 and 195,614.78 is: 293,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,005.70 : 435,096.03 = 195,614.78 : x
  2. Step 2: Convert to fraction form
    290,005.70/435,096.03 = 195,614.78/x
  3. Step 3: Cross multiply
    290,005.70x = 435,096.03 × 195,614.78
  4. Step 4: Simplify right side
    290,005.70x = 85,111,214,187.32
  5. Step 5: Solve for x
    x = 85,111,214,187.32/290,005.70
  6. Step 6: Final answer
    x = 293,481.18

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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.