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Finding the Fourth Proportional to 561,285, 842,232.06 and 325,089

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Solution

The fourth proportional to 561,285, 842,232.06 and 325,089 is: 487,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,285 : 842,232.06 = 325,089 : x
  2. Step 2: Convert to fraction form
    561,285/842,232.06 = 325,089/x
  3. Step 3: Cross multiply
    561,285x = 842,232.06 × 325,089
  4. Step 4: Simplify right side
    561,285x = 273,800,378,153.34
  5. Step 5: Solve for x
    x = 273,800,378,153.34/561,285
  6. Step 6: Final answer
    x = 487,809.90

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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.