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Finding the Fourth Proportional to 700,686.45, 966,947.31 and 378,396.54

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Solution

The fourth proportional to 700,686.45, 966,947.31 and 378,396.54 is: 522,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686.45 : 966,947.31 = 378,396.54 : x
  2. Step 2: Convert to fraction form
    700,686.45/966,947.31 = 378,396.54/x
  3. Step 3: Cross multiply
    700,686.45x = 966,947.31 × 378,396.54
  4. Step 4: Simplify right side
    700,686.45x = 365,889,519,333.62
  5. Step 5: Solve for x
    x = 365,889,519,333.62/700,686.45
  6. Step 6: Final answer
    x = 522,187.24

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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.