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Finding the Fourth Proportional to 321,675.90, 482,021.77 and 171,937.47

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Solution

The fourth proportional to 321,675.90, 482,021.77 and 171,937.47 is: 257,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,675.90 : 482,021.77 = 171,937.47 : x
  2. Step 2: Convert to fraction form
    321,675.90/482,021.77 = 171,937.47/x
  3. Step 3: Cross multiply
    321,675.90x = 482,021.77 × 171,937.47
  4. Step 4: Simplify right side
    321,675.90x = 82,877,603,618.72
  5. Step 5: Solve for x
    x = 82,877,603,618.72/321,675.90
  6. Step 6: Final answer
    x = 257,643.19

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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.