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Finding the Fourth Proportional to 257,296.85, 354,953.21 and 155,289.70

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Solution

The fourth proportional to 257,296.85, 354,953.21 and 155,289.70 is: 214,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,296.85 : 354,953.21 = 155,289.70 : x
  2. Step 2: Convert to fraction form
    257,296.85/354,953.21 = 155,289.70/x
  3. Step 3: Cross multiply
    257,296.85x = 354,953.21 × 155,289.70
  4. Step 4: Simplify right side
    257,296.85x = 55,120,576,163.87
  5. Step 5: Solve for x
    x = 55,120,576,163.87/257,296.85
  6. Step 6: Final answer
    x = 214,229.51

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1.5x scale

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.