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Finding the Fourth Proportional to 300,735.86, 450,821.23 and 100,916.11

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Solution

The fourth proportional to 300,735.86, 450,821.23 and 100,916.11 is: 151,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,735.86 : 450,821.23 = 100,916.11 : x
  2. Step 2: Convert to fraction form
    300,735.86/450,821.23 = 100,916.11/x
  3. Step 3: Cross multiply
    300,735.86x = 450,821.23 × 100,916.11
  4. Step 4: Simplify right side
    300,735.86x = 45,495,123,457.67
  5. Step 5: Solve for x
    x = 45,495,123,457.67/300,735.86
  6. Step 6: Final answer
    x = 151,279.34

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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.