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Finding the Fourth Proportional to 369,181.86, 509,471.19 and 199,416

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Solution

The fourth proportional to 369,181.86, 509,471.19 and 199,416 is: 275,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,181.86 : 509,471.19 = 199,416 : x
  2. Step 2: Convert to fraction form
    369,181.86/509,471.19 = 199,416/x
  3. Step 3: Cross multiply
    369,181.86x = 509,471.19 × 199,416
  4. Step 4: Simplify right side
    369,181.86x = 101,596,706,825.04
  5. Step 5: Solve for x
    x = 101,596,706,825.04/369,181.86
  6. Step 6: Final answer
    x = 275,194.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.