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Finding the Fourth Proportional to 391,099.69, 585,646.25 and 270,986.01

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Solution

The fourth proportional to 391,099.69, 585,646.25 and 270,986.01 is: 405,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,099.69 : 585,646.25 = 270,986.01 : x
  2. Step 2: Convert to fraction form
    391,099.69/585,646.25 = 270,986.01/x
  3. Step 3: Cross multiply
    391,099.69x = 585,646.25 × 270,986.01
  4. Step 4: Simplify right side
    391,099.69x = 158,701,938,532.16
  5. Step 5: Solve for x
    x = 158,701,938,532.16/391,099.69
  6. Step 6: Final answer
    x = 405,783.85

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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.