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Finding the Fourth Proportional to 689,808.50, 951,916.22 and 383,880

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Solution

The fourth proportional to 689,808.50, 951,916.22 and 383,880 is: 529,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,808.50 : 951,916.22 = 383,880 : x
  2. Step 2: Convert to fraction form
    689,808.50/951,916.22 = 383,880/x
  3. Step 3: Cross multiply
    689,808.50x = 951,916.22 × 383,880
  4. Step 4: Simplify right side
    689,808.50x = 365,421,598,533.60
  5. Step 5: Solve for x
    x = 365,421,598,533.60/689,808.50
  6. Step 6: Final answer
    x = 529,743.54

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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.