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Finding the Fourth Proportional to 298,980, 448,471.62 and 77,364

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Solution

The fourth proportional to 298,980, 448,471.62 and 77,364 is: 116,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980 : 448,471.62 = 77,364 : x
  2. Step 2: Convert to fraction form
    298,980/448,471.62 = 77,364/x
  3. Step 3: Cross multiply
    298,980x = 448,471.62 × 77,364
  4. Step 4: Simplify right side
    298,980x = 34,695,558,409.68
  5. Step 5: Solve for x
    x = 34,695,558,409.68/298,980
  6. Step 6: Final answer
    x = 116,046.42

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