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Finding the Fourth Proportional to 329,121.90, 493,699.05 and 171,657.90

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Solution

The fourth proportional to 329,121.90, 493,699.05 and 171,657.90 is: 257,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,121.90 : 493,699.05 = 171,657.90 : x
  2. Step 2: Convert to fraction form
    329,121.90/493,699.05 = 171,657.90/x
  3. Step 3: Cross multiply
    329,121.90x = 493,699.05 × 171,657.90
  4. Step 4: Simplify right side
    329,121.90x = 84,747,342,155.00
  5. Step 5: Solve for x
    x = 84,747,342,155.00/329,121.90
  6. Step 6: Final answer
    x = 257,495.30

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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.