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Finding the Fourth Proportional to 222,518.88, 306,973.12 and 197,051.20

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Solution

The fourth proportional to 222,518.88, 306,973.12 and 197,051.20 is: 271,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,518.88 : 306,973.12 = 197,051.20 : x
  2. Step 2: Convert to fraction form
    222,518.88/306,973.12 = 197,051.20/x
  3. Step 3: Cross multiply
    222,518.88x = 306,973.12 × 197,051.20
  4. Step 4: Simplify right side
    222,518.88x = 60,489,421,663.74
  5. Step 5: Solve for x
    x = 60,489,421,663.74/222,518.88
  6. Step 6: Final answer
    x = 271,839.50

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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.