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Finding the Fourth Proportional to 316,273.28, 436,385.76 and 188,924

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Solution

The fourth proportional to 316,273.28, 436,385.76 and 188,924 is: 260,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,273.28 : 436,385.76 = 188,924 : x
  2. Step 2: Convert to fraction form
    316,273.28/436,385.76 = 188,924/x
  3. Step 3: Cross multiply
    316,273.28x = 436,385.76 × 188,924
  4. Step 4: Simplify right side
    316,273.28x = 82,443,743,322.24
  5. Step 5: Solve for x
    x = 82,443,743,322.24/316,273.28
  6. Step 6: Final answer
    x = 260,672.49

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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.