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Finding the Fourth Proportional to 324,842.40, 487,263.60 and 137,829.60

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Solution

The fourth proportional to 324,842.40, 487,263.60 and 137,829.60 is: 206,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,842.40 : 487,263.60 = 137,829.60 : x
  2. Step 2: Convert to fraction form
    324,842.40/487,263.60 = 137,829.60/x
  3. Step 3: Cross multiply
    324,842.40x = 487,263.60 × 137,829.60
  4. Step 4: Simplify right side
    324,842.40x = 67,159,347,082.56
  5. Step 5: Solve for x
    x = 67,159,347,082.56/324,842.40
  6. Step 6: Final answer
    x = 206,744.40

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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.