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Finding the Fourth Proportional to 493,261.76, 739,875.36 and 208,874

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Solution

The fourth proportional to 493,261.76, 739,875.36 and 208,874 is: 313,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,261.76 : 739,875.36 = 208,874 : x
  2. Step 2: Convert to fraction form
    493,261.76/739,875.36 = 208,874/x
  3. Step 3: Cross multiply
    493,261.76x = 739,875.36 × 208,874
  4. Step 4: Simplify right side
    493,261.76x = 154,540,725,944.64
  5. Step 5: Solve for x
    x = 154,540,725,944.64/493,261.76
  6. Step 6: Final answer
    x = 313,303.68

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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.