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Finding the Fourth Proportional to 257,012, 354,863.64 and 206,303.66

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Solution

The fourth proportional to 257,012, 354,863.64 and 206,303.66 is: 284,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,012 : 354,863.64 = 206,303.66 : x
  2. Step 2: Convert to fraction form
    257,012/354,863.64 = 206,303.66/x
  3. Step 3: Cross multiply
    257,012x = 354,863.64 × 206,303.66
  4. Step 4: Simplify right side
    257,012x = 73,209,667,732.92
  5. Step 5: Solve for x
    x = 73,209,667,732.92/257,012
  6. Step 6: Final answer
    x = 284,849.22

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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.