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Finding the Fourth Proportional to 287,604.45, 430,914.60 and 182,300.40

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Solution

The fourth proportional to 287,604.45, 430,914.60 and 182,300.40 is: 273,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,604.45 : 430,914.60 = 182,300.40 : x
  2. Step 2: Convert to fraction form
    287,604.45/430,914.60 = 182,300.40/x
  3. Step 3: Cross multiply
    287,604.45x = 430,914.60 × 182,300.40
  4. Step 4: Simplify right side
    287,604.45x = 78,555,903,945.84
  5. Step 5: Solve for x
    x = 78,555,903,945.84/287,604.45
  6. Step 6: Final answer
    x = 273,138.69

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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.