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Finding the Fourth Proportional to 348,709.80, 523,113.30 and 149,028.60

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Solution

The fourth proportional to 348,709.80, 523,113.30 and 149,028.60 is: 223,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,709.80 : 523,113.30 = 149,028.60 : x
  2. Step 2: Convert to fraction form
    348,709.80/523,113.30 = 149,028.60/x
  3. Step 3: Cross multiply
    348,709.80x = 523,113.30 × 149,028.60
  4. Step 4: Simplify right side
    348,709.80x = 77,958,842,740.38
  5. Step 5: Solve for x
    x = 77,958,842,740.38/348,709.80
  6. Step 6: Final answer
    x = 223,563.67

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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.