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Finding the Fourth Proportional to 517,910.47, 714,735.75 and 285,346.87

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Solution

The fourth proportional to 517,910.47, 714,735.75 and 285,346.87 is: 393,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,910.47 : 714,735.75 = 285,346.87 : x
  2. Step 2: Convert to fraction form
    517,910.47/714,735.75 = 285,346.87/x
  3. Step 3: Cross multiply
    517,910.47x = 714,735.75 × 285,346.87
  4. Step 4: Simplify right side
    517,910.47x = 203,947,609,139.60
  5. Step 5: Solve for x
    x = 203,947,609,139.60/517,910.47
  6. Step 6: Final answer
    x = 393,789.31

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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.