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Finding the Fourth Proportional to 384,239, 576,361.74 and 134,921

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Solution

The fourth proportional to 384,239, 576,361.74 and 134,921 is: 202,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,239 : 576,361.74 = 134,921 : x
  2. Step 2: Convert to fraction form
    384,239/576,361.74 = 134,921/x
  3. Step 3: Cross multiply
    384,239x = 576,361.74 × 134,921
  4. Step 4: Simplify right side
    384,239x = 77,763,302,322.54
  5. Step 5: Solve for x
    x = 77,763,302,322.54/384,239
  6. Step 6: Final answer
    x = 202,382.64

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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.