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Finding the Fourth Proportional to 280,759.22, 421,430.51 and 162,661.30

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Solution

The fourth proportional to 280,759.22, 421,430.51 and 162,661.30 is: 244,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759.22 : 421,430.51 = 162,661.30 : x
  2. Step 2: Convert to fraction form
    280,759.22/421,430.51 = 162,661.30/x
  3. Step 3: Cross multiply
    280,759.22x = 421,430.51 × 162,661.30
  4. Step 4: Simplify right side
    280,759.22x = 68,550,434,616.26
  5. Step 5: Solve for x
    x = 68,550,434,616.26/280,759.22
  6. Step 6: Final answer
    x = 244,160.94

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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.