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Finding the Fourth Proportional to 703,213.80, 970,415.04 and 412,820.70

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Solution

The fourth proportional to 703,213.80, 970,415.04 and 412,820.70 is: 569,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,213.80 : 970,415.04 = 412,820.70 : x
  2. Step 2: Convert to fraction form
    703,213.80/970,415.04 = 412,820.70/x
  3. Step 3: Cross multiply
    703,213.80x = 970,415.04 × 412,820.70
  4. Step 4: Simplify right side
    703,213.80x = 400,607,416,103.33
  5. Step 5: Solve for x
    x = 400,607,416,103.33/703,213.80
  6. Step 6: Final answer
    x = 569,680.82

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1.5x scale

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.