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Finding the Fourth Proportional to 209,491.64, 289,104.54 and 114,004.50

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Solution

The fourth proportional to 209,491.64, 289,104.54 and 114,004.50 is: 157,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,491.64 : 289,104.54 = 114,004.50 : x
  2. Step 2: Convert to fraction form
    209,491.64/289,104.54 = 114,004.50/x
  3. Step 3: Cross multiply
    209,491.64x = 289,104.54 × 114,004.50
  4. Step 4: Simplify right side
    209,491.64x = 32,959,218,530.43
  5. Step 5: Solve for x
    x = 32,959,218,530.43/209,491.64
  6. Step 6: Final answer
    x = 157,329.52

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1.5x scale

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.