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Finding the Fourth Proportional to 281,533.08, 421,891.38 and 155,199

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Solution

The fourth proportional to 281,533.08, 421,891.38 and 155,199 is: 232,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,533.08 : 421,891.38 = 155,199 : x
  2. Step 2: Convert to fraction form
    281,533.08/421,891.38 = 155,199/x
  3. Step 3: Cross multiply
    281,533.08x = 421,891.38 × 155,199
  4. Step 4: Simplify right side
    281,533.08x = 65,477,120,284.62
  5. Step 5: Solve for x
    x = 65,477,120,284.62/281,533.08
  6. Step 6: Final answer
    x = 232,573.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.