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Finding the Fourth Proportional to 703,145.13, 970,289.90 and 412,768.48

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Solution

The fourth proportional to 703,145.13, 970,289.90 and 412,768.48 is: 569,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,145.13 : 970,289.90 = 412,768.48 : x
  2. Step 2: Convert to fraction form
    703,145.13/970,289.90 = 412,768.48/x
  3. Step 3: Cross multiply
    703,145.13x = 970,289.90 × 412,768.48
  4. Step 4: Simplify right side
    703,145.13x = 400,505,086,150.43
  5. Step 5: Solve for x
    x = 400,505,086,150.43/703,145.13
  6. Step 6: Final answer
    x = 569,590.93

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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.