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Finding the Fourth Proportional to 349,776, 482,690.88 and 198,873

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Solution

The fourth proportional to 349,776, 482,690.88 and 198,873 is: 274,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,776 : 482,690.88 = 198,873 : x
  2. Step 2: Convert to fraction form
    349,776/482,690.88 = 198,873/x
  3. Step 3: Cross multiply
    349,776x = 482,690.88 × 198,873
  4. Step 4: Simplify right side
    349,776x = 95,994,183,378.24
  5. Step 5: Solve for x
    x = 95,994,183,378.24/349,776
  6. Step 6: Final answer
    x = 274,444.74

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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.