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Finding the Fourth Proportional to 281,902, 389,228.94 and 181,474.96

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Solution

The fourth proportional to 281,902, 389,228.94 and 181,474.96 is: 250,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,902 : 389,228.94 = 181,474.96 : x
  2. Step 2: Convert to fraction form
    281,902/389,228.94 = 181,474.96/x
  3. Step 3: Cross multiply
    281,902x = 389,228.94 × 181,474.96
  4. Step 4: Simplify right side
    281,902x = 70,635,306,317.34
  5. Step 5: Solve for x
    x = 70,635,306,317.34/281,902
  6. Step 6: Final answer
    x = 250,566.89

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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.