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Finding the Fourth Proportional to 301,513.78, 452,336.28 and 91,146.25

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Solution

The fourth proportional to 301,513.78, 452,336.28 and 91,146.25 is: 136,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,513.78 : 452,336.28 = 91,146.25 : x
  2. Step 2: Convert to fraction form
    301,513.78/452,336.28 = 91,146.25/x
  3. Step 3: Cross multiply
    301,513.78x = 452,336.28 × 91,146.25
  4. Step 4: Simplify right side
    301,513.78x = 41,228,755,660.95
  5. Step 5: Solve for x
    x = 41,228,755,660.95/301,513.78
  6. Step 6: Final answer
    x = 136,739.21

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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.