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Finding the Fourth Proportional to 304,932, 420,806.16 and 185,700

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Solution

The fourth proportional to 304,932, 420,806.16 and 185,700 is: 256,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,932 : 420,806.16 = 185,700 : x
  2. Step 2: Convert to fraction form
    304,932/420,806.16 = 185,700/x
  3. Step 3: Cross multiply
    304,932x = 420,806.16 × 185,700
  4. Step 4: Simplify right side
    304,932x = 78,143,703,912
  5. Step 5: Solve for x
    x = 78,143,703,912/304,932
  6. Step 6: Final answer
    x = 256,266

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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.