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Finding the Fourth Proportional to 703,354.56, 970,629.84 and 412,909.28

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Solution

The fourth proportional to 703,354.56, 970,629.84 and 412,909.28 is: 569,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,354.56 : 970,629.84 = 412,909.28 : x
  2. Step 2: Convert to fraction form
    703,354.56/970,629.84 = 412,909.28/x
  3. Step 3: Cross multiply
    703,354.56x = 970,629.84 × 412,909.28
  4. Step 4: Simplify right side
    703,354.56x = 400,782,068,380.92
  5. Step 5: Solve for x
    x = 400,782,068,380.92/703,354.56
  6. Step 6: Final answer
    x = 569,815.13

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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.