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Finding the Fourth Proportional to 703,212.80, 970,413.66 and 412,819.70

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Solution

The fourth proportional to 703,212.80, 970,413.66 and 412,819.70 is: 569,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,212.80 : 970,413.66 = 412,819.70 : x
  2. Step 2: Convert to fraction form
    703,212.80/970,413.66 = 412,819.70/x
  3. Step 3: Cross multiply
    703,212.80x = 970,413.66 × 412,819.70
  4. Step 4: Simplify right side
    703,212.80x = 400,605,871,145.03
  5. Step 5: Solve for x
    x = 400,605,871,145.03/703,212.80
  6. Step 6: Final answer
    x = 569,679.44

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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.