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Finding the Fourth Proportional to 936,722, 1,405,083 and 345,746

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Solution

The fourth proportional to 936,722, 1,405,083 and 345,746 is: 518,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,722 : 1,405,083 = 345,746 : x
  2. Step 2: Convert to fraction form
    936,722/1,405,083 = 345,746/x
  3. Step 3: Cross multiply
    936,722x = 1,405,083 × 345,746
  4. Step 4: Simplify right side
    936,722x = 485,801,826,918
  5. Step 5: Solve for x
    x = 485,801,826,918/936,722
  6. Step 6: Final answer
    x = 518,619

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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.