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Finding the Fourth Proportional to 703,145.52, 970,290.43 and 412,768.87

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Solution

The fourth proportional to 703,145.52, 970,290.43 and 412,768.87 is: 569,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,145.52 : 970,290.43 = 412,768.87 : x
  2. Step 2: Convert to fraction form
    703,145.52/970,290.43 = 412,768.87/x
  3. Step 3: Cross multiply
    703,145.52x = 970,290.43 × 412,768.87
  4. Step 4: Simplify right side
    703,145.52x = 400,505,688,684.97
  5. Step 5: Solve for x
    x = 400,505,688,684.97/703,145.52
  6. Step 6: Final answer
    x = 569,591.47

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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.