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Finding the Fourth Proportional to 257,438.63, 355,193.33 and 202,821.25

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Solution

The fourth proportional to 257,438.63, 355,193.33 and 202,821.25 is: 279,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438.63 : 355,193.33 = 202,821.25 : x
  2. Step 2: Convert to fraction form
    257,438.63/355,193.33 = 202,821.25/x
  3. Step 3: Cross multiply
    257,438.63x = 355,193.33 × 202,821.25
  4. Step 4: Simplify right side
    257,438.63x = 72,040,753,280.17
  5. Step 5: Solve for x
    x = 72,040,753,280.17/257,438.63
  6. Step 6: Final answer
    x = 279,836.61

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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.