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Finding the Fourth Proportional to 289,710.26, 400,348.53 and 217,965.62

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Solution

The fourth proportional to 289,710.26, 400,348.53 and 217,965.62 is: 301,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,710.26 : 400,348.53 = 217,965.62 : x
  2. Step 2: Convert to fraction form
    289,710.26/400,348.53 = 217,965.62/x
  3. Step 3: Cross multiply
    289,710.26x = 400,348.53 × 217,965.62
  4. Step 4: Simplify right side
    289,710.26x = 87,262,215,557.54
  5. Step 5: Solve for x
    x = 87,262,215,557.54/289,710.26
  6. Step 6: Final answer
    x = 301,205.13

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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.