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Finding the Fourth Proportional to 819,844, 1,131,384.72 and 462,148

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Solution

The fourth proportional to 819,844, 1,131,384.72 and 462,148 is: 637,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,844 : 1,131,384.72 = 462,148 : x
  2. Step 2: Convert to fraction form
    819,844/1,131,384.72 = 462,148/x
  3. Step 3: Cross multiply
    819,844x = 1,131,384.72 × 462,148
  4. Step 4: Simplify right side
    819,844x = 522,867,185,578.56
  5. Step 5: Solve for x
    x = 522,867,185,578.56/819,844
  6. Step 6: Final answer
    x = 637,764.24

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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.