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Finding the Fourth Proportional to 363,289, 545,021 and 113,971

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Solution

The fourth proportional to 363,289, 545,021 and 113,971 is: 170,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,289 : 545,021 = 113,971 : x
  2. Step 2: Convert to fraction form
    363,289/545,021 = 113,971/x
  3. Step 3: Cross multiply
    363,289x = 545,021 × 113,971
  4. Step 4: Simplify right side
    363,289x = 62,116,588,391
  5. Step 5: Solve for x
    x = 62,116,588,391/363,289
  6. Step 6: Final answer
    x = 170,983.95

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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.