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Finding the Fourth Proportional to 316,849.92, 437,314.56 and 209,425.92

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Solution

The fourth proportional to 316,849.92, 437,314.56 and 209,425.92 is: 289,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,849.92 : 437,314.56 = 209,425.92 : x
  2. Step 2: Convert to fraction form
    316,849.92/437,314.56 = 209,425.92/x
  3. Step 3: Cross multiply
    316,849.92x = 437,314.56 × 209,425.92
  4. Step 4: Simplify right side
    316,849.92x = 91,585,004,057.40
  5. Step 5: Solve for x
    x = 91,585,004,057.40/316,849.92
  6. Step 6: Final answer
    x = 289,048.53

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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.