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Finding the Fourth Proportional to 323,784.60, 486,114.30 and 205,686.60

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Solution

The fourth proportional to 323,784.60, 486,114.30 and 205,686.60 is: 308,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,784.60 : 486,114.30 = 205,686.60 : x
  2. Step 2: Convert to fraction form
    323,784.60/486,114.30 = 205,686.60/x
  3. Step 3: Cross multiply
    323,784.60x = 486,114.30 × 205,686.60
  4. Step 4: Simplify right side
    323,784.60x = 99,987,197,578.38
  5. Step 5: Solve for x
    x = 99,987,197,578.38/323,784.60
  6. Step 6: Final answer
    x = 308,807.76

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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.