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Finding the Fourth Proportional to 344,597.25, 516,895.99 and 142,190.40

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Solution

The fourth proportional to 344,597.25, 516,895.99 and 142,190.40 is: 213,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,597.25 : 516,895.99 = 142,190.40 : x
  2. Step 2: Convert to fraction form
    344,597.25/516,895.99 = 142,190.40/x
  3. Step 3: Cross multiply
    344,597.25x = 516,895.99 × 142,190.40
  4. Step 4: Simplify right side
    344,597.25x = 73,497,647,576.50
  5. Step 5: Solve for x
    x = 73,497,647,576.50/344,597.25
  6. Step 6: Final answer
    x = 213,285.65

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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.