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Finding the Fourth Proportional to 280,907.20, 421,402.80 and 103,400.68

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Solution

The fourth proportional to 280,907.20, 421,402.80 and 103,400.68 is: 155,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,907.20 : 421,402.80 = 103,400.68 : x
  2. Step 2: Convert to fraction form
    280,907.20/421,402.80 = 103,400.68/x
  3. Step 3: Cross multiply
    280,907.20x = 421,402.80 × 103,400.68
  4. Step 4: Simplify right side
    280,907.20x = 43,573,336,073.90
  5. Step 5: Solve for x
    x = 43,573,336,073.90/280,907.20
  6. Step 6: Final answer
    x = 155,116.48

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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.