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Finding the Fourth Proportional to 309,455.58, 463,395.60 and 203,954.70

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Solution

The fourth proportional to 309,455.58, 463,395.60 and 203,954.70 is: 305,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,455.58 : 463,395.60 = 203,954.70 : x
  2. Step 2: Convert to fraction form
    309,455.58/463,395.60 = 203,954.70/x
  3. Step 3: Cross multiply
    309,455.58x = 463,395.60 × 203,954.70
  4. Step 4: Simplify right side
    309,455.58x = 94,511,710,579.32
  5. Step 5: Solve for x
    x = 94,511,710,579.32/309,455.58
  6. Step 6: Final answer
    x = 305,412.85

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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.