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Finding the Fourth Proportional to 316,290.78, 436,438.17 and 188,939.34

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Solution

The fourth proportional to 316,290.78, 436,438.17 and 188,939.34 is: 260,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,290.78 : 436,438.17 = 188,939.34 : x
  2. Step 2: Convert to fraction form
    316,290.78/436,438.17 = 188,939.34/x
  3. Step 3: Cross multiply
    316,290.78x = 436,438.17 × 188,939.34
  4. Step 4: Simplify right side
    316,290.78x = 82,460,339,790.61
  5. Step 5: Solve for x
    x = 82,460,339,790.61/316,290.78
  6. Step 6: Final answer
    x = 260,710.54

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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.