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Finding the Fourth Proportional to 309,010.53, 463,815.38 and 149,199.17

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Solution

The fourth proportional to 309,010.53, 463,815.38 and 149,199.17 is: 223,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,010.53 : 463,815.38 = 149,199.17 : x
  2. Step 2: Convert to fraction form
    309,010.53/463,815.38 = 149,199.17/x
  3. Step 3: Cross multiply
    309,010.53x = 463,815.38 × 149,199.17
  4. Step 4: Simplify right side
    309,010.53x = 69,200,869,729.23
  5. Step 5: Solve for x
    x = 69,200,869,729.23/309,010.53
  6. Step 6: Final answer
    x = 223,943.40

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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.