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Finding the Fourth Proportional to 385,274, 531,678.12 and 251,138

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Solution

The fourth proportional to 385,274, 531,678.12 and 251,138 is: 346,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,274 : 531,678.12 = 251,138 : x
  2. Step 2: Convert to fraction form
    385,274/531,678.12 = 251,138/x
  3. Step 3: Cross multiply
    385,274x = 531,678.12 × 251,138
  4. Step 4: Simplify right side
    385,274x = 133,524,579,700.56
  5. Step 5: Solve for x
    x = 133,524,579,700.56/385,274
  6. Step 6: Final answer
    x = 346,570.44

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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.