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Finding the Fourth Proportional to 501,251.73, 691,663.46 and 286,405.71

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Solution

The fourth proportional to 501,251.73, 691,663.46 and 286,405.71 is: 395,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,251.73 : 691,663.46 = 286,405.71 : x
  2. Step 2: Convert to fraction form
    501,251.73/691,663.46 = 286,405.71/x
  3. Step 3: Cross multiply
    501,251.73x = 691,663.46 × 286,405.71
  4. Step 4: Simplify right side
    501,251.73x = 198,096,362,910.33
  5. Step 5: Solve for x
    x = 198,096,362,910.33/501,251.73
  6. Step 6: Final answer
    x = 395,203.35

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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.