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Finding the Fourth Proportional to 280,809.50, 421,214.26 and 83,817.50

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Solution

The fourth proportional to 280,809.50, 421,214.26 and 83,817.50 is: 125,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,809.50 : 421,214.26 = 83,817.50 : x
  2. Step 2: Convert to fraction form
    280,809.50/421,214.26 = 83,817.50/x
  3. Step 3: Cross multiply
    280,809.50x = 421,214.26 × 83,817.50
  4. Step 4: Simplify right side
    280,809.50x = 35,305,126,237.55
  5. Step 5: Solve for x
    x = 35,305,126,237.55/280,809.50
  6. Step 6: Final answer
    x = 125,726.25

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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.