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Finding the Fourth Proportional to 281,881.32, 421,992.54 and 188,154.60

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Solution

The fourth proportional to 281,881.32, 421,992.54 and 188,154.60 is: 281,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,881.32 : 421,992.54 = 188,154.60 : x
  2. Step 2: Convert to fraction form
    281,881.32/421,992.54 = 188,154.60/x
  3. Step 3: Cross multiply
    281,881.32x = 421,992.54 × 188,154.60
  4. Step 4: Simplify right side
    281,881.32x = 79,399,837,566.68
  5. Step 5: Solve for x
    x = 79,399,837,566.68/281,881.32
  6. Step 6: Final answer
    x = 281,678.25

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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.