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Finding the Fourth Proportional to 661,085.52, 991,698.72 and 211,645.68

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Solution

The fourth proportional to 661,085.52, 991,698.72 and 211,645.68 is: 317,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,085.52 : 991,698.72 = 211,645.68 : x
  2. Step 2: Convert to fraction form
    661,085.52/991,698.72 = 211,645.68/x
  3. Step 3: Cross multiply
    661,085.52x = 991,698.72 × 211,645.68
  4. Step 4: Simplify right side
    661,085.52x = 209,888,749,949.53
  5. Step 5: Solve for x
    x = 209,888,749,949.53/661,085.52
  6. Step 6: Final answer
    x = 317,491.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.