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Finding the Fourth Proportional to 303,401, 455,101.50 and 81,785

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Solution

The fourth proportional to 303,401, 455,101.50 and 81,785 is: 122,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,401 : 455,101.50 = 81,785 : x
  2. Step 2: Convert to fraction form
    303,401/455,101.50 = 81,785/x
  3. Step 3: Cross multiply
    303,401x = 455,101.50 × 81,785
  4. Step 4: Simplify right side
    303,401x = 37,220,476,177.50
  5. Step 5: Solve for x
    x = 37,220,476,177.50/303,401
  6. Step 6: Final answer
    x = 122,677.50

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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.