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Finding the Fourth Proportional to 301,530, 452,502.36 and 104,538

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Solution

The fourth proportional to 301,530, 452,502.36 and 104,538 is: 156,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,530 : 452,502.36 = 104,538 : x
  2. Step 2: Convert to fraction form
    301,530/452,502.36 = 104,538/x
  3. Step 3: Cross multiply
    301,530x = 452,502.36 × 104,538
  4. Step 4: Simplify right side
    301,530x = 47,303,691,709.68
  5. Step 5: Solve for x
    x = 47,303,691,709.68/301,530
  6. Step 6: Final answer
    x = 156,878.89

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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.