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Finding the Fourth Proportional to 313,233.80, 469,850.70 and 102,878.60

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Solution

The fourth proportional to 313,233.80, 469,850.70 and 102,878.60 is: 154,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,233.80 : 469,850.70 = 102,878.60 : x
  2. Step 2: Convert to fraction form
    313,233.80/469,850.70 = 102,878.60/x
  3. Step 3: Cross multiply
    313,233.80x = 469,850.70 × 102,878.60
  4. Step 4: Simplify right side
    313,233.80x = 48,337,582,225.02
  5. Step 5: Solve for x
    x = 48,337,582,225.02/313,233.80
  6. Step 6: Final answer
    x = 154,317.90

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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.