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Finding the Fourth Proportional to 399,657.60, 599,390.40 and 230,812.80

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Solution

The fourth proportional to 399,657.60, 599,390.40 and 230,812.80 is: 346,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,657.60 : 599,390.40 = 230,812.80 : x
  2. Step 2: Convert to fraction form
    399,657.60/599,390.40 = 230,812.80/x
  3. Step 3: Cross multiply
    399,657.60x = 599,390.40 × 230,812.80
  4. Step 4: Simplify right side
    399,657.60x = 138,346,976,517.12
  5. Step 5: Solve for x
    x = 138,346,976,517.12/399,657.60
  6. Step 6: Final answer
    x = 346,163.76

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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.