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Finding the Fourth Proportional to 280,909.20, 421,405.80 and 103,402.68

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Solution

The fourth proportional to 280,909.20, 421,405.80 and 103,402.68 is: 155,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,909.20 : 421,405.80 = 103,402.68 : x
  2. Step 2: Convert to fraction form
    280,909.20/421,405.80 = 103,402.68/x
  3. Step 3: Cross multiply
    280,909.20x = 421,405.80 × 103,402.68
  4. Step 4: Simplify right side
    280,909.20x = 43,574,489,087.54
  5. Step 5: Solve for x
    x = 43,574,489,087.54/280,909.20
  6. Step 6: Final answer
    x = 155,119.48

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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.