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Finding the Fourth Proportional to 386,388, 533,034 and 273,273.12

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Solution

The fourth proportional to 386,388, 533,034 and 273,273.12 is: 376,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,388 : 533,034 = 273,273.12 : x
  2. Step 2: Convert to fraction form
    386,388/533,034 = 273,273.12/x
  3. Step 3: Cross multiply
    386,388x = 533,034 × 273,273.12
  4. Step 4: Simplify right side
    386,388x = 145,663,864,246.08
  5. Step 5: Solve for x
    x = 145,663,864,246.08/386,388
  6. Step 6: Final answer
    x = 376,988.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.