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Finding the Fourth Proportional to 512,242.34, 706,986.96 and 305,523.98

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Solution

The fourth proportional to 512,242.34, 706,986.96 and 305,523.98 is: 421,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,242.34 : 706,986.96 = 305,523.98 : x
  2. Step 2: Convert to fraction form
    512,242.34/706,986.96 = 305,523.98/x
  3. Step 3: Cross multiply
    512,242.34x = 706,986.96 × 305,523.98
  4. Step 4: Simplify right side
    512,242.34x = 216,001,469,827.30
  5. Step 5: Solve for x
    x = 216,001,469,827.30/512,242.34
  6. Step 6: Final answer
    x = 421,678.28

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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.