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Finding the Fourth Proportional to 385,563.78, 578,372.70 and 119,289.24

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Solution

The fourth proportional to 385,563.78, 578,372.70 and 119,289.24 is: 178,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,563.78 : 578,372.70 = 119,289.24 : x
  2. Step 2: Convert to fraction form
    385,563.78/578,372.70 = 119,289.24/x
  3. Step 3: Cross multiply
    385,563.78x = 578,372.70 × 119,289.24
  4. Step 4: Simplify right side
    385,563.78x = 68,993,639,819.75
  5. Step 5: Solve for x
    x = 68,993,639,819.75/385,563.78
  6. Step 6: Final answer
    x = 178,942.22

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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.