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Finding the Fourth Proportional to 257,969.62, 355,978.56 and 144,770.50

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Solution

The fourth proportional to 257,969.62, 355,978.56 and 144,770.50 is: 199,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.62 : 355,978.56 = 144,770.50 : x
  2. Step 2: Convert to fraction form
    257,969.62/355,978.56 = 144,770.50/x
  3. Step 3: Cross multiply
    257,969.62x = 355,978.56 × 144,770.50
  4. Step 4: Simplify right side
    257,969.62x = 51,535,194,120.48
  5. Step 5: Solve for x
    x = 51,535,194,120.48/257,969.62
  6. Step 6: Final answer
    x = 199,772.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.