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Finding the Fourth Proportional to 509,609.97, 764,415.09 and 149,780.84

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Solution

The fourth proportional to 509,609.97, 764,415.09 and 149,780.84 is: 224,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,609.97 : 764,415.09 = 149,780.84 : x
  2. Step 2: Convert to fraction form
    509,609.97/764,415.09 = 149,780.84/x
  3. Step 3: Cross multiply
    509,609.97x = 764,415.09 × 149,780.84
  4. Step 4: Simplify right side
    509,609.97x = 114,494,730,466.80
  5. Step 5: Solve for x
    x = 114,494,730,466.80/509,609.97
  6. Step 6: Final answer
    x = 224,671.29

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Double scale
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Similar ratio
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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.