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Finding the Fourth Proportional to 638,148.70, 957,223.05 and 322,564.60

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Solution

The fourth proportional to 638,148.70, 957,223.05 and 322,564.60 is: 483,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,148.70 : 957,223.05 = 322,564.60 : x
  2. Step 2: Convert to fraction form
    638,148.70/957,223.05 = 322,564.60/x
  3. Step 3: Cross multiply
    638,148.70x = 957,223.05 × 322,564.60
  4. Step 4: Simplify right side
    638,148.70x = 308,766,270,234.03
  5. Step 5: Solve for x
    x = 308,766,270,234.03/638,148.70
  6. Step 6: Final answer
    x = 483,846.90

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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.