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Finding the Fourth Proportional to 257,544.63, 355,410.45 and 144,367.38

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Solution

The fourth proportional to 257,544.63, 355,410.45 and 144,367.38 is: 199,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544.63 : 355,410.45 = 144,367.38 : x
  2. Step 2: Convert to fraction form
    257,544.63/355,410.45 = 144,367.38/x
  3. Step 3: Cross multiply
    257,544.63x = 355,410.45 × 144,367.38
  4. Step 4: Simplify right side
    257,544.63x = 51,309,675,491.12
  5. Step 5: Solve for x
    x = 51,309,675,491.12/257,544.63
  6. Step 6: Final answer
    x = 199,226.35

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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.