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Finding the Fourth Proportional to 280,770.83, 421,094.40 and 81,047.84

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Solution

The fourth proportional to 280,770.83, 421,094.40 and 81,047.84 is: 121,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,770.83 : 421,094.40 = 81,047.84 : x
  2. Step 2: Convert to fraction form
    280,770.83/421,094.40 = 81,047.84/x
  3. Step 3: Cross multiply
    280,770.83x = 421,094.40 × 81,047.84
  4. Step 4: Simplify right side
    280,770.83x = 34,128,791,515.35
  5. Step 5: Solve for x
    x = 34,128,791,515.35/280,770.83
  6. Step 6: Final answer
    x = 121,553.91

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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.