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Finding the Fourth Proportional to 270,462.32, 405,699.60 and 83,474

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Solution

The fourth proportional to 270,462.32, 405,699.60 and 83,474 is: 125,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,462.32 : 405,699.60 = 83,474 : x
  2. Step 2: Convert to fraction form
    270,462.32/405,699.60 = 83,474/x
  3. Step 3: Cross multiply
    270,462.32x = 405,699.60 × 83,474
  4. Step 4: Simplify right side
    270,462.32x = 33,865,368,410.40
  5. Step 5: Solve for x
    x = 33,865,368,410.40/270,462.32
  6. Step 6: Final answer
    x = 125,212.89

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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.