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Finding the Fourth Proportional to 329,091.86, 493,539.98 and 139,549.43

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Solution

The fourth proportional to 329,091.86, 493,539.98 and 139,549.43 is: 209,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,091.86 : 493,539.98 = 139,549.43 : x
  2. Step 2: Convert to fraction form
    329,091.86/493,539.98 = 139,549.43/x
  3. Step 3: Cross multiply
    329,091.86x = 493,539.98 × 139,549.43
  4. Step 4: Simplify right side
    329,091.86x = 68,873,219,725.76
  5. Step 5: Solve for x
    x = 68,873,219,725.76/329,091.86
  6. Step 6: Final answer
    x = 209,282.66

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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.