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Finding the Fourth Proportional to 313,401.80, 470,178.30 and 103,028.60

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Solution

The fourth proportional to 313,401.80, 470,178.30 and 103,028.60 is: 154,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,401.80 : 470,178.30 = 103,028.60 : x
  2. Step 2: Convert to fraction form
    313,401.80/470,178.30 = 103,028.60/x
  3. Step 3: Cross multiply
    313,401.80x = 470,178.30 × 103,028.60
  4. Step 4: Simplify right side
    313,401.80x = 48,441,811,999.38
  5. Step 5: Solve for x
    x = 48,441,811,999.38/313,401.80
  6. Step 6: Final answer
    x = 154,567.75

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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.