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Finding the Fourth Proportional to 936,720, 1,405,080 and 345,744

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Solution

The fourth proportional to 936,720, 1,405,080 and 345,744 is: 518,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,720 : 1,405,080 = 345,744 : x
  2. Step 2: Convert to fraction form
    936,720/1,405,080 = 345,744/x
  3. Step 3: Cross multiply
    936,720x = 1,405,080 × 345,744
  4. Step 4: Simplify right side
    936,720x = 485,797,979,520
  5. Step 5: Solve for x
    x = 485,797,979,520/936,720
  6. Step 6: Final answer
    x = 518,616

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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.