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Finding the Fourth Proportional to 323,677,991.20, 485,516,986.80 and 286,264,544.80

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Solution

The fourth proportional to 323,677,991.20, 485,516,986.80 and 286,264,544.80 is: 429,396,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,677,991.20 : 485,516,986.80 = 286,264,544.80 : x
  2. Step 2: Convert to fraction form
    323,677,991.20/485,516,986.80 = 286,264,544.80/x
  3. Step 3: Cross multiply
    323,677,991.20x = 485,516,986.80 × 286,264,544.80
  4. Step 4: Simplify right side
    323,677,991.20x = 138,986,299,218,969,616
  5. Step 5: Solve for x
    x = 138,986,299,218,969,616/323,677,991.20
  6. Step 6: Final answer
    x = 429,396,817.20

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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.