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Finding the Fourth Proportional to 280,907.44, 421,403.22 and 103,400.92

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Solution

The fourth proportional to 280,907.44, 421,403.22 and 103,400.92 is: 155,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,907.44 : 421,403.22 = 103,400.92 : x
  2. Step 2: Convert to fraction form
    280,907.44/421,403.22 = 103,400.92/x
  3. Step 3: Cross multiply
    280,907.44x = 421,403.22 × 103,400.92
  4. Step 4: Simplify right side
    280,907.44x = 43,573,480,638.96
  5. Step 5: Solve for x
    x = 43,573,480,638.96/280,907.44
  6. Step 6: Final answer
    x = 155,116.86

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1.5x scale

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.