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Finding the Fourth Proportional to 610,200, 914,664.54 and 205,091.46

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Solution

The fourth proportional to 610,200, 914,664.54 and 205,091.46 is: 307,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,200 : 914,664.54 = 205,091.46 : x
  2. Step 2: Convert to fraction form
    610,200/914,664.54 = 205,091.46/x
  3. Step 3: Cross multiply
    610,200x = 914,664.54 × 205,091.46
  4. Step 4: Simplify right side
    610,200x = 187,589,885,918.83
  5. Step 5: Solve for x
    x = 187,589,885,918.83/610,200
  6. Step 6: Final answer
    x = 307,423.61

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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.