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Finding the Fourth Proportional to 405,906.30, 608,859.45 and 125,423.10

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Solution

The fourth proportional to 405,906.30, 608,859.45 and 125,423.10 is: 188,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,906.30 : 608,859.45 = 125,423.10 : x
  2. Step 2: Convert to fraction form
    405,906.30/608,859.45 = 125,423.10/x
  3. Step 3: Cross multiply
    405,906.30x = 608,859.45 × 125,423.10
  4. Step 4: Simplify right side
    405,906.30x = 76,365,039,683.30
  5. Step 5: Solve for x
    x = 76,365,039,683.30/405,906.30
  6. Step 6: Final answer
    x = 188,134.65

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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.