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Finding the Fourth Proportional to 323,943.20, 486,157.80 and 166,090.40

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Solution

The fourth proportional to 323,943.20, 486,157.80 and 166,090.40 is: 249,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,943.20 : 486,157.80 = 166,090.40 : x
  2. Step 2: Convert to fraction form
    323,943.20/486,157.80 = 166,090.40/x
  3. Step 3: Cross multiply
    323,943.20x = 486,157.80 × 166,090.40
  4. Step 4: Simplify right side
    323,943.20x = 80,746,143,465.12
  5. Step 5: Solve for x
    x = 80,746,143,465.12/323,943.20
  6. Step 6: Final answer
    x = 249,260.19

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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.