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Finding the Fourth Proportional to 270,254, 405,446.62 and 83,265.50

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Solution

The fourth proportional to 270,254, 405,446.62 and 83,265.50 is: 124,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 405,446.62 = 83,265.50 : x
  2. Step 2: Convert to fraction form
    270,254/405,446.62 = 83,265.50/x
  3. Step 3: Cross multiply
    270,254x = 405,446.62 × 83,265.50
  4. Step 4: Simplify right side
    270,254x = 33,759,715,537.61
  5. Step 5: Solve for x
    x = 33,759,715,537.61/270,254
  6. Step 6: Final answer
    x = 124,918.47

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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.