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Finding the Fourth Proportional to 614,709.82, 921,843.06 and 259,751.35

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Solution

The fourth proportional to 614,709.82, 921,843.06 and 259,751.35 is: 389,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,709.82 : 921,843.06 = 259,751.35 : x
  2. Step 2: Convert to fraction form
    614,709.82/921,843.06 = 259,751.35/x
  3. Step 3: Cross multiply
    614,709.82x = 921,843.06 × 259,751.35
  4. Step 4: Simplify right side
    614,709.82x = 239,449,979,323.13
  5. Step 5: Solve for x
    x = 239,449,979,323.13/614,709.82
  6. Step 6: Final answer
    x = 389,533.36

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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.