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Finding the Fourth Proportional to 405,729.90, 608,652.45 and 125,217.90

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Solution

The fourth proportional to 405,729.90, 608,652.45 and 125,217.90 is: 187,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,729.90 : 608,652.45 = 125,217.90 : x
  2. Step 2: Convert to fraction form
    405,729.90/608,652.45 = 125,217.90/x
  3. Step 3: Cross multiply
    405,729.90x = 608,652.45 × 125,217.90
  4. Step 4: Simplify right side
    405,729.90x = 76,214,181,618.86
  5. Step 5: Solve for x
    x = 76,214,181,618.86/405,729.90
  6. Step 6: Final answer
    x = 187,844.63

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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.