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Finding the Fourth Proportional to 777,617, 1,073,111.46 and 419,921

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Solution

The fourth proportional to 777,617, 1,073,111.46 and 419,921 is: 579,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,617 : 1,073,111.46 = 419,921 : x
  2. Step 2: Convert to fraction form
    777,617/1,073,111.46 = 419,921/x
  3. Step 3: Cross multiply
    777,617x = 1,073,111.46 × 419,921
  4. Step 4: Simplify right side
    777,617x = 450,622,037,394.66
  5. Step 5: Solve for x
    x = 450,622,037,394.66/777,617
  6. Step 6: Final answer
    x = 579,490.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.