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Finding the Fourth Proportional to 512,213.25, 706,865.64 and 282,770.01

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Solution

The fourth proportional to 512,213.25, 706,865.64 and 282,770.01 is: 390,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,213.25 : 706,865.64 = 282,770.01 : x
  2. Step 2: Convert to fraction form
    512,213.25/706,865.64 = 282,770.01/x
  3. Step 3: Cross multiply
    512,213.25x = 706,865.64 × 282,770.01
  4. Step 4: Simplify right side
    512,213.25x = 199,880,404,091.46
  5. Step 5: Solve for x
    x = 199,880,404,091.46/512,213.25
  6. Step 6: Final answer
    x = 390,228.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.