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Finding the Fourth Proportional to 289,796.80, 434,522.40 and 149,828.80

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Solution

The fourth proportional to 289,796.80, 434,522.40 and 149,828.80 is: 224,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,796.80 : 434,522.40 = 149,828.80 : x
  2. Step 2: Convert to fraction form
    289,796.80/434,522.40 = 149,828.80/x
  3. Step 3: Cross multiply
    289,796.80x = 434,522.40 × 149,828.80
  4. Step 4: Simplify right side
    289,796.80x = 65,103,969,765.12
  5. Step 5: Solve for x
    x = 65,103,969,765.12/289,796.80
  6. Step 6: Final answer
    x = 224,653.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.