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Finding the Fourth Proportional to 405,743.60, 608,615.40 and 125,260.40

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Solution

The fourth proportional to 405,743.60, 608,615.40 and 125,260.40 is: 187,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,743.60 : 608,615.40 = 125,260.40 : x
  2. Step 2: Convert to fraction form
    405,743.60/608,615.40 = 125,260.40/x
  3. Step 3: Cross multiply
    405,743.60x = 608,615.40 × 125,260.40
  4. Step 4: Simplify right side
    405,743.60x = 76,235,408,450.16
  5. Step 5: Solve for x
    x = 76,235,408,450.16/405,743.60
  6. Step 6: Final answer
    x = 187,890.60

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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.