Home / 686,374.94-1,029,496.80-419,998.34

Finding the Fourth Proportional to 686,374.94, 1,029,496.80 and 419,998.34

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Solution

The fourth proportional to 686,374.94, 1,029,496.80 and 419,998.34 is: 629,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,374.94 : 1,029,496.80 = 419,998.34 : x
  2. Step 2: Convert to fraction form
    686,374.94/1,029,496.80 = 419,998.34/x
  3. Step 3: Cross multiply
    686,374.94x = 1,029,496.80 × 419,998.34
  4. Step 4: Simplify right side
    686,374.94x = 432,386,947,035.31
  5. Step 5: Solve for x
    x = 432,386,947,035.31/686,374.94
  6. Step 6: Final answer
    x = 629,957.36

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Why These Related Problems?

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