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Finding the Fourth Proportional to 303,534, 455,301 and 81,918

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Solution

The fourth proportional to 303,534, 455,301 and 81,918 is: 122,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,534 : 455,301 = 81,918 : x
  2. Step 2: Convert to fraction form
    303,534/455,301 = 81,918/x
  3. Step 3: Cross multiply
    303,534x = 455,301 × 81,918
  4. Step 4: Simplify right side
    303,534x = 37,297,347,318
  5. Step 5: Solve for x
    x = 37,297,347,318/303,534
  6. Step 6: Final answer
    x = 122,877

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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.