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Finding the Fourth Proportional to 315,986.63, 436,005.49 and 186,930.54

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Solution

The fourth proportional to 315,986.63, 436,005.49 and 186,930.54 is: 257,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,986.63 : 436,005.49 = 186,930.54 : x
  2. Step 2: Convert to fraction form
    315,986.63/436,005.49 = 186,930.54/x
  3. Step 3: Cross multiply
    315,986.63x = 436,005.49 × 186,930.54
  4. Step 4: Simplify right side
    315,986.63x = 81,502,741,221.34
  5. Step 5: Solve for x
    x = 81,502,741,221.34/315,986.63
  6. Step 6: Final answer
    x = 257,930.98

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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.