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Finding the Fourth Proportional to 257,330.47, 385,992.90 and 105,493.68

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Solution

The fourth proportional to 257,330.47, 385,992.90 and 105,493.68 is: 158,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,330.47 : 385,992.90 = 105,493.68 : x
  2. Step 2: Convert to fraction form
    257,330.47/385,992.90 = 105,493.68/x
  3. Step 3: Cross multiply
    257,330.47x = 385,992.90 × 105,493.68
  4. Step 4: Simplify right side
    257,330.47x = 40,719,811,474.87
  5. Step 5: Solve for x
    x = 40,719,811,474.87/257,330.47
  6. Step 6: Final answer
    x = 158,239.37

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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.