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Finding the Fourth Proportional to 778,689, 1,074,592.44 and 420,993

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Solution

The fourth proportional to 778,689, 1,074,592.44 and 420,993 is: 580,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,689 : 1,074,592.44 = 420,993 : x
  2. Step 2: Convert to fraction form
    778,689/1,074,592.44 = 420,993/x
  3. Step 3: Cross multiply
    778,689x = 1,074,592.44 × 420,993
  4. Step 4: Simplify right side
    778,689x = 452,395,895,092.92
  5. Step 5: Solve for x
    x = 452,395,895,092.92/778,689
  6. Step 6: Final answer
    x = 580,971.22

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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.