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Finding the Fourth Proportional to 400,975.81, 601,378.81 and 238,941.58

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Solution

The fourth proportional to 400,975.81, 601,378.81 and 238,941.58 is: 358,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,975.81 : 601,378.81 = 238,941.58 : x
  2. Step 2: Convert to fraction form
    400,975.81/601,378.81 = 238,941.58/x
  3. Step 3: Cross multiply
    400,975.81x = 601,378.81 × 238,941.58
  4. Step 4: Simplify right side
    400,975.81x = 143,694,403,039.92
  5. Step 5: Solve for x
    x = 143,694,403,039.92/400,975.81
  6. Step 6: Final answer
    x = 358,361.78

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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.