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Finding the Fourth Proportional to 280,906.76, 421,402.12 and 103,400.28

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Solution

The fourth proportional to 280,906.76, 421,402.12 and 103,400.28 is: 155,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,906.76 : 421,402.12 = 103,400.28 : x
  2. Step 2: Convert to fraction form
    280,906.76/421,402.12 = 103,400.28/x
  3. Step 3: Cross multiply
    280,906.76x = 421,402.12 × 103,400.28
  4. Step 4: Simplify right side
    280,906.76x = 43,573,097,200.59
  5. Step 5: Solve for x
    x = 43,573,097,200.59/280,906.76
  6. Step 6: Final answer
    x = 155,115.87

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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.