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Finding the Fourth Proportional to 390,199.58, 585,299.60 and 109,716.83

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Solution

The fourth proportional to 390,199.58, 585,299.60 and 109,716.83 is: 164,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,199.58 : 585,299.60 = 109,716.83 : x
  2. Step 2: Convert to fraction form
    390,199.58/585,299.60 = 109,716.83/x
  3. Step 3: Cross multiply
    390,199.58x = 585,299.60 × 109,716.83
  4. Step 4: Simplify right side
    390,199.58x = 64,217,213,237.19
  5. Step 5: Solve for x
    x = 64,217,213,237.19/390,199.58
  6. Step 6: Final answer
    x = 164,575.30

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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.