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Finding the Fourth Proportional to 715,278, 1,073,409.09 and 294,553.86

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Solution

The fourth proportional to 715,278, 1,073,409.09 and 294,553.86 is: 442,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,278 : 1,073,409.09 = 294,553.86 : x
  2. Step 2: Convert to fraction form
    715,278/1,073,409.09 = 294,553.86/x
  3. Step 3: Cross multiply
    715,278x = 1,073,409.09 × 294,553.86
  4. Step 4: Simplify right side
    715,278x = 316,176,790,818.59
  5. Step 5: Solve for x
    x = 316,176,790,818.59/715,278
  6. Step 6: Final answer
    x = 442,033.43

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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.