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Finding the Fourth Proportional to 384,998.40, 576,883.20 and 322,329.60

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Solution

The fourth proportional to 384,998.40, 576,883.20 and 322,329.60 is: 482,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,998.40 : 576,883.20 = 322,329.60 : x
  2. Step 2: Convert to fraction form
    384,998.40/576,883.20 = 322,329.60/x
  3. Step 3: Cross multiply
    384,998.40x = 576,883.20 × 322,329.60
  4. Step 4: Simplify right side
    384,998.40x = 185,946,531,102.72
  5. Step 5: Solve for x
    x = 185,946,531,102.72/384,998.40
  6. Step 6: Final answer
    x = 482,980.01

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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.