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Finding the Fourth Proportional to 289,780.80, 405,969.60 and 289,780.80

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Solution

The fourth proportional to 289,780.80, 405,969.60 and 289,780.80 is: 405,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.80 : 405,969.60 = 289,780.80 : x
  2. Step 2: Convert to fraction form
    289,780.80/405,969.60 = 289,780.80/x
  3. Step 3: Cross multiply
    289,780.80x = 405,969.60 × 289,780.80
  4. Step 4: Simplify right side
    289,780.80x = 117,642,195,463.68
  5. Step 5: Solve for x
    x = 117,642,195,463.68/289,780.80
  6. Step 6: Final answer
    x = 405,969.60

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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.