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Finding the Fourth Proportional to 354,070.98, 488,581.74 and 198,997.56

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Solution

The fourth proportional to 354,070.98, 488,581.74 and 198,997.56 is: 274,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,070.98 : 488,581.74 = 198,997.56 : x
  2. Step 2: Convert to fraction form
    354,070.98/488,581.74 = 198,997.56/x
  3. Step 3: Cross multiply
    354,070.98x = 488,581.74 × 198,997.56
  4. Step 4: Simplify right side
    354,070.98x = 97,226,574,120.55
  5. Step 5: Solve for x
    x = 97,226,574,120.55/354,070.98
  6. Step 6: Final answer
    x = 274,596.28

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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.