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Finding the Fourth Proportional to 384,609.80, 576,914.70 and 342,830.60

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Solution

The fourth proportional to 384,609.80, 576,914.70 and 342,830.60 is: 514,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,609.80 : 576,914.70 = 342,830.60 : x
  2. Step 2: Convert to fraction form
    384,609.80/576,914.70 = 342,830.60/x
  3. Step 3: Cross multiply
    384,609.80x = 576,914.70 × 342,830.60
  4. Step 4: Simplify right side
    384,609.80x = 197,784,012,749.82
  5. Step 5: Solve for x
    x = 197,784,012,749.82/384,609.80
  6. Step 6: Final answer
    x = 514,245.90

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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.