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Finding the Fourth Proportional to 411,231.60, 616,847.40 and 345,913.20

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Solution

The fourth proportional to 411,231.60, 616,847.40 and 345,913.20 is: 518,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,231.60 : 616,847.40 = 345,913.20 : x
  2. Step 2: Convert to fraction form
    411,231.60/616,847.40 = 345,913.20/x
  3. Step 3: Cross multiply
    411,231.60x = 616,847.40 × 345,913.20
  4. Step 4: Simplify right side
    411,231.60x = 213,375,658,045.68
  5. Step 5: Solve for x
    x = 213,375,658,045.68/411,231.60
  6. Step 6: Final answer
    x = 518,869.80

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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.