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Finding the Fourth Proportional to 393,855.60, 590,564.70 and 156,930.60

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Solution

The fourth proportional to 393,855.60, 590,564.70 and 156,930.60 is: 235,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,855.60 : 590,564.70 = 156,930.60 : x
  2. Step 2: Convert to fraction form
    393,855.60/590,564.70 = 156,930.60/x
  3. Step 3: Cross multiply
    393,855.60x = 590,564.70 × 156,930.60
  4. Step 4: Simplify right side
    393,855.60x = 92,677,672,709.82
  5. Step 5: Solve for x
    x = 92,677,672,709.82/393,855.60
  6. Step 6: Final answer
    x = 235,308.76

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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.