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Finding the Fourth Proportional to 512,416.20, 768,624.30 and 505,417.80

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Solution

The fourth proportional to 512,416.20, 768,624.30 and 505,417.80 is: 758,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,416.20 : 768,624.30 = 505,417.80 : x
  2. Step 2: Convert to fraction form
    512,416.20/768,624.30 = 505,417.80/x
  3. Step 3: Cross multiply
    512,416.20x = 768,624.30 × 505,417.80
  4. Step 4: Simplify right side
    512,416.20x = 388,476,402,732.54
  5. Step 5: Solve for x
    x = 388,476,402,732.54/512,416.20
  6. Step 6: Final answer
    x = 758,126.70

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