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Finding the Fourth Proportional to 703,612, 1,055,418 and 309,628

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Solution

The fourth proportional to 703,612, 1,055,418 and 309,628 is: 464,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,612 : 1,055,418 = 309,628 : x
  2. Step 2: Convert to fraction form
    703,612/1,055,418 = 309,628/x
  3. Step 3: Cross multiply
    703,612x = 1,055,418 × 309,628
  4. Step 4: Simplify right side
    703,612x = 326,786,964,504
  5. Step 5: Solve for x
    x = 326,786,964,504/703,612
  6. Step 6: Final answer
    x = 464,442

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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.