Home / 298,731,881,215.12-412,251,238,133.76-161,554,707,442.32

Finding the Fourth Proportional to 298,731,881,215.12, 412,251,238,133.76 and 161,554,707,442.32

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Solution

The fourth proportional to 298,731,881,215.12, 412,251,238,133.76 and 161,554,707,442.32 is: 222,946,167,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731,881,215.12 : 412,251,238,133.76 = 161,554,707,442.32 : x
  2. Step 2: Convert to fraction form
    298,731,881,215.12/412,251,238,133.76 = 161,554,707,442.32/x
  3. Step 3: Cross multiply
    298,731,881,215.12x = 412,251,238,133.76 × 161,554,707,442.32
  4. Step 4: Simplify right side
    298,731,881,215.12x = 66,601,128,169,433,796,182,016
  5. Step 5: Solve for x
    x = 66,601,128,169,433,796,182,016/298,731,881,215.12
  6. Step 6: Final answer
    x = 222,946,167,976.87

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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.