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Finding the Fourth Proportional to 611,032.36, 916,426.62 and 206,185

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Solution

The fourth proportional to 611,032.36, 916,426.62 and 206,185 is: 309,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,032.36 : 916,426.62 = 206,185 : x
  2. Step 2: Convert to fraction form
    611,032.36/916,426.62 = 206,185/x
  3. Step 3: Cross multiply
    611,032.36x = 916,426.62 × 206,185
  4. Step 4: Simplify right side
    611,032.36x = 188,953,422,644.70
  5. Step 5: Solve for x
    x = 188,953,422,644.70/611,032.36
  6. Step 6: Final answer
    x = 309,236.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.