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Finding the Fourth Proportional to 304,896.69, 420,903.69 and 214,330.29

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Solution

The fourth proportional to 304,896.69, 420,903.69 and 214,330.29 is: 295,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,896.69 : 420,903.69 = 214,330.29 : x
  2. Step 2: Convert to fraction form
    304,896.69/420,903.69 = 214,330.29/x
  3. Step 3: Cross multiply
    304,896.69x = 420,903.69 × 214,330.29
  4. Step 4: Simplify right side
    304,896.69x = 90,212,409,939.77
  5. Step 5: Solve for x
    x = 90,212,409,939.77/304,896.69
  6. Step 6: Final answer
    x = 295,878.61

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1.5x scale

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.