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Finding the Fourth Proportional to 399,163.20, 598,744.80 and 257,445.60

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Solution

The fourth proportional to 399,163.20, 598,744.80 and 257,445.60 is: 386,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,163.20 : 598,744.80 = 257,445.60 : x
  2. Step 2: Convert to fraction form
    399,163.20/598,744.80 = 257,445.60/x
  3. Step 3: Cross multiply
    399,163.20x = 598,744.80 × 257,445.60
  4. Step 4: Simplify right side
    399,163.20x = 154,144,214,282.88
  5. Step 5: Solve for x
    x = 154,144,214,282.88/399,163.20
  6. Step 6: Final answer
    x = 386,168.40

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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.