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Finding the Fourth Proportional to 703,614, 1,055,421 and 309,630

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Solution

The fourth proportional to 703,614, 1,055,421 and 309,630 is: 464,445

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,614 : 1,055,421 = 309,630 : x
  2. Step 2: Convert to fraction form
    703,614/1,055,421 = 309,630/x
  3. Step 3: Cross multiply
    703,614x = 1,055,421 × 309,630
  4. Step 4: Simplify right side
    703,614x = 326,790,004,230
  5. Step 5: Solve for x
    x = 326,790,004,230/703,614
  6. Step 6: Final answer
    x = 464,445

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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.