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Finding the Fourth Proportional to 405,193.41, 607,824.63 and 120,865.64

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Solution

The fourth proportional to 405,193.41, 607,824.63 and 120,865.64 is: 181,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,193.41 : 607,824.63 = 120,865.64 : x
  2. Step 2: Convert to fraction form
    405,193.41/607,824.63 = 120,865.64/x
  3. Step 3: Cross multiply
    405,193.41x = 607,824.63 × 120,865.64
  4. Step 4: Simplify right side
    405,193.41x = 73,465,109,873.59
  5. Step 5: Solve for x
    x = 73,465,109,873.59/405,193.41
  6. Step 6: Final answer
    x = 181,308.75

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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.