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Finding the Fourth Proportional to 384,235, 576,355.74 and 134,917

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Solution

The fourth proportional to 384,235, 576,355.74 and 134,917 is: 202,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,235 : 576,355.74 = 134,917 : x
  2. Step 2: Convert to fraction form
    384,235/576,355.74 = 134,917/x
  3. Step 3: Cross multiply
    384,235x = 576,355.74 × 134,917
  4. Step 4: Simplify right side
    384,235x = 77,760,187,373.58
  5. Step 5: Solve for x
    x = 77,760,187,373.58/384,235
  6. Step 6: Final answer
    x = 202,376.64

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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.