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Finding the Fourth Proportional to 605,305.31, 907,515.09 and 205,838.82

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Solution

The fourth proportional to 605,305.31, 907,515.09 and 205,838.82 is: 308,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,305.31 : 907,515.09 = 205,838.82 : x
  2. Step 2: Convert to fraction form
    605,305.31/907,515.09 = 205,838.82/x
  3. Step 3: Cross multiply
    605,305.31x = 907,515.09 × 205,838.82
  4. Step 4: Simplify right side
    605,305.31x = 186,801,835,257.79
  5. Step 5: Solve for x
    x = 186,801,835,257.79/605,305.31
  6. Step 6: Final answer
    x = 308,607.63

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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.