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Finding the Fourth Proportional to 393,419.70, 590,129.55 and 386,858.70

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Solution

The fourth proportional to 393,419.70, 590,129.55 and 386,858.70 is: 580,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,419.70 : 590,129.55 = 386,858.70 : x
  2. Step 2: Convert to fraction form
    393,419.70/590,129.55 = 386,858.70/x
  3. Step 3: Cross multiply
    393,419.70x = 590,129.55 × 386,858.70
  4. Step 4: Simplify right side
    393,419.70x = 228,296,750,544.59
  5. Step 5: Solve for x
    x = 228,296,750,544.59/393,419.70
  6. Step 6: Final answer
    x = 580,288.05

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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.