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Finding the Fourth Proportional to 308,053.60, 462,080.40 and 223,416.70

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Solution

The fourth proportional to 308,053.60, 462,080.40 and 223,416.70 is: 335,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,053.60 : 462,080.40 = 223,416.70 : x
  2. Step 2: Convert to fraction form
    308,053.60/462,080.40 = 223,416.70/x
  3. Step 3: Cross multiply
    308,053.60x = 462,080.40 × 223,416.70
  4. Step 4: Simplify right side
    308,053.60x = 103,236,478,102.68
  5. Step 5: Solve for x
    x = 103,236,478,102.68/308,053.60
  6. Step 6: Final answer
    x = 335,125.05

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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.