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Finding the Fourth Proportional to 360,903.78, 498,037.31 and 205,851.56

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Solution

The fourth proportional to 360,903.78, 498,037.31 and 205,851.56 is: 284,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,903.78 : 498,037.31 = 205,851.56 : x
  2. Step 2: Convert to fraction form
    360,903.78/498,037.31 = 205,851.56/x
  3. Step 3: Cross multiply
    360,903.78x = 498,037.31 × 205,851.56
  4. Step 4: Simplify right side
    360,903.78x = 102,521,753,682.26
  5. Step 5: Solve for x
    x = 102,521,753,682.26/360,903.78
  6. Step 6: Final answer
    x = 284,069.49

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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.