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Finding the Fourth Proportional to 404,495.20, 606,742.80 and 205,429.60

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Solution

The fourth proportional to 404,495.20, 606,742.80 and 205,429.60 is: 308,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,495.20 : 606,742.80 = 205,429.60 : x
  2. Step 2: Convert to fraction form
    404,495.20/606,742.80 = 205,429.60/x
  3. Step 3: Cross multiply
    404,495.20x = 606,742.80 × 205,429.60
  4. Step 4: Simplify right side
    404,495.20x = 124,642,930,706.88
  5. Step 5: Solve for x
    x = 124,642,930,706.88/404,495.20
  6. Step 6: Final answer
    x = 308,144.40

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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.