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Finding the Fourth Proportional to 316,492.80, 436,715.52 and 203,470.08

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Solution

The fourth proportional to 316,492.80, 436,715.52 and 203,470.08 is: 280,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,492.80 : 436,715.52 = 203,470.08 : x
  2. Step 2: Convert to fraction form
    316,492.80/436,715.52 = 203,470.08/x
  3. Step 3: Cross multiply
    316,492.80x = 436,715.52 × 203,470.08
  4. Step 4: Simplify right side
    316,492.80x = 88,858,541,791.64
  5. Step 5: Solve for x
    x = 88,858,541,791.64/316,492.80
  6. Step 6: Final answer
    x = 280,760.07

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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.