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Finding the Fourth Proportional to 222,631.44, 307,262.88 and 137,775.84

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Solution

The fourth proportional to 222,631.44, 307,262.88 and 137,775.84 is: 190,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,631.44 : 307,262.88 = 137,775.84 : x
  2. Step 2: Convert to fraction form
    222,631.44/307,262.88 = 137,775.84/x
  3. Step 3: Cross multiply
    222,631.44x = 307,262.88 × 137,775.84
  4. Step 4: Simplify right side
    222,631.44x = 42,333,401,392.82
  5. Step 5: Solve for x
    x = 42,333,401,392.82/222,631.44
  6. Step 6: Final answer
    x = 190,150.15

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1.5x scale

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.