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Finding the Fourth Proportional to 257,202.52, 355,032.64 and 209,372.82

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Solution

The fourth proportional to 257,202.52, 355,032.64 and 209,372.82 is: 289,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.52 : 355,032.64 = 209,372.82 : x
  2. Step 2: Convert to fraction form
    257,202.52/355,032.64 = 209,372.82/x
  3. Step 3: Cross multiply
    257,202.52x = 355,032.64 × 209,372.82
  4. Step 4: Simplify right side
    257,202.52x = 74,334,185,028.84
  5. Step 5: Solve for x
    x = 74,334,185,028.84/257,202.52
  6. Step 6: Final answer
    x = 289,010.33

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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.