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Finding the Fourth Proportional to 454,490.40, 681,814.80 and 188,104.80

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Solution

The fourth proportional to 454,490.40, 681,814.80 and 188,104.80 is: 282,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,490.40 : 681,814.80 = 188,104.80 : x
  2. Step 2: Convert to fraction form
    454,490.40/681,814.80 = 188,104.80/x
  3. Step 3: Cross multiply
    454,490.40x = 681,814.80 × 188,104.80
  4. Step 4: Simplify right side
    454,490.40x = 128,252,636,591.04
  5. Step 5: Solve for x
    x = 128,252,636,591.04/454,490.40
  6. Step 6: Final answer
    x = 282,189.98

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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.