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Finding the Fourth Proportional to 305,969.26, 458,564.46 and 172,923.70

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Solution

The fourth proportional to 305,969.26, 458,564.46 and 172,923.70 is: 259,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969.26 : 458,564.46 = 172,923.70 : x
  2. Step 2: Convert to fraction form
    305,969.26/458,564.46 = 172,923.70/x
  3. Step 3: Cross multiply
    305,969.26x = 458,564.46 × 172,923.70
  4. Step 4: Simplify right side
    305,969.26x = 79,296,663,111.70
  5. Step 5: Solve for x
    x = 79,296,663,111.70/305,969.26
  6. Step 6: Final answer
    x = 259,165.46

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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.