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Finding the Fourth Proportional to 491,857.37, 678,764.58 and 285,165.93

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Solution

The fourth proportional to 491,857.37, 678,764.58 and 285,165.93 is: 393,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,857.37 : 678,764.58 = 285,165.93 : x
  2. Step 2: Convert to fraction form
    491,857.37/678,764.58 = 285,165.93/x
  3. Step 3: Cross multiply
    491,857.37x = 678,764.58 × 285,165.93
  4. Step 4: Simplify right side
    491,857.37x = 193,560,532,706.76
  5. Step 5: Solve for x
    x = 193,560,532,706.76/491,857.37
  6. Step 6: Final answer
    x = 393,529.80

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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.