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Finding the Fourth Proportional to 309,273.58, 463,122.83 and 203,772.70

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Solution

The fourth proportional to 309,273.58, 463,122.83 and 203,772.70 is: 305,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,273.58 : 463,122.83 = 203,772.70 : x
  2. Step 2: Convert to fraction form
    309,273.58/463,122.83 = 203,772.70/x
  3. Step 3: Cross multiply
    309,273.58x = 463,122.83 × 203,772.70
  4. Step 4: Simplify right side
    309,273.58x = 94,371,786,166.26
  5. Step 5: Solve for x
    x = 94,371,786,166.26/309,273.58
  6. Step 6: Final answer
    x = 305,140.15

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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.