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Finding the Fourth Proportional to 405,738.20, 568,966.60 and 405,738.20

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Solution

The fourth proportional to 405,738.20, 568,966.60 and 405,738.20 is: 568,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,738.20 : 568,966.60 = 405,738.20 : x
  2. Step 2: Convert to fraction form
    405,738.20/568,966.60 = 405,738.20/x
  3. Step 3: Cross multiply
    405,738.20x = 568,966.60 × 405,738.20
  4. Step 4: Simplify right side
    405,738.20x = 230,851,484,144.12
  5. Step 5: Solve for x
    x = 230,851,484,144.12/405,738.20
  6. Step 6: Final answer
    x = 568,966.60

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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.