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Finding the Fourth Proportional to 405,367.42, 608,138.16 and 121,080.46

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Solution

The fourth proportional to 405,367.42, 608,138.16 and 121,080.46 is: 181,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,367.42 : 608,138.16 = 121,080.46 : x
  2. Step 2: Convert to fraction form
    405,367.42/608,138.16 = 121,080.46/x
  3. Step 3: Cross multiply
    405,367.42x = 608,138.16 × 121,080.46
  4. Step 4: Simplify right side
    405,367.42x = 73,633,648,156.35
  5. Step 5: Solve for x
    x = 73,633,648,156.35/405,367.42
  6. Step 6: Final answer
    x = 181,646.69

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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.