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Finding the Fourth Proportional to 523,400.80, 734,420 and 523,400.80

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Solution

The fourth proportional to 523,400.80, 734,420 and 523,400.80 is: 734,420

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,400.80 : 734,420 = 523,400.80 : x
  2. Step 2: Convert to fraction form
    523,400.80/734,420 = 523,400.80/x
  3. Step 3: Cross multiply
    523,400.80x = 734,420 × 523,400.80
  4. Step 4: Simplify right side
    523,400.80x = 384,396,015,536
  5. Step 5: Solve for x
    x = 384,396,015,536/523,400.80
  6. Step 6: Final answer
    x = 734,420

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.