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Finding the Fourth Proportional to 316,212.22, 436,474.47 and 208,877.50

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Solution

The fourth proportional to 316,212.22, 436,474.47 and 208,877.50 is: 288,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,212.22 : 436,474.47 = 208,877.50 : x
  2. Step 2: Convert to fraction form
    316,212.22/436,474.47 = 208,877.50/x
  3. Step 3: Cross multiply
    316,212.22x = 436,474.47 × 208,877.50
  4. Step 4: Simplify right side
    316,212.22x = 91,169,696,107.43
  5. Step 5: Solve for x
    x = 91,169,696,107.43/316,212.22
  6. Step 6: Final answer
    x = 288,318.07

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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.