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Finding the Fourth Proportional to 289,813.40, 434,741.70 and 102,800.60

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Solution

The fourth proportional to 289,813.40, 434,741.70 and 102,800.60 is: 154,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,813.40 : 434,741.70 = 102,800.60 : x
  2. Step 2: Convert to fraction form
    289,813.40/434,741.70 = 102,800.60/x
  3. Step 3: Cross multiply
    289,813.40x = 434,741.70 × 102,800.60
  4. Step 4: Simplify right side
    289,813.40x = 44,691,707,605.02
  5. Step 5: Solve for x
    x = 44,691,707,605.02/289,813.40
  6. Step 6: Final answer
    x = 154,208.56

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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.