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Finding the Fourth Proportional to 363,289.50, 545,021.75 and 113,971.50

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Solution

The fourth proportional to 363,289.50, 545,021.75 and 113,971.50 is: 170,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,289.50 : 545,021.75 = 113,971.50 : x
  2. Step 2: Convert to fraction form
    363,289.50/545,021.75 = 113,971.50/x
  3. Step 3: Cross multiply
    363,289.50x = 545,021.75 × 113,971.50
  4. Step 4: Simplify right side
    363,289.50x = 62,116,946,380.13
  5. Step 5: Solve for x
    x = 62,116,946,380.13/363,289.50
  6. Step 6: Final answer
    x = 170,984.70

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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.