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Finding the Fourth Proportional to 313,892.80, 470,839.20 and 114,219.70

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Solution

The fourth proportional to 313,892.80, 470,839.20 and 114,219.70 is: 171,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892.80 : 470,839.20 = 114,219.70 : x
  2. Step 2: Convert to fraction form
    313,892.80/470,839.20 = 114,219.70/x
  3. Step 3: Cross multiply
    313,892.80x = 470,839.20 × 114,219.70
  4. Step 4: Simplify right side
    313,892.80x = 53,779,112,172.24
  5. Step 5: Solve for x
    x = 53,779,112,172.24/313,892.80
  6. Step 6: Final answer
    x = 171,329.55

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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.