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Finding the Fourth Proportional to 462,842.26, 694,013.76 and 209,984.78

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Solution

The fourth proportional to 462,842.26, 694,013.76 and 209,984.78 is: 314,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,842.26 : 694,013.76 = 209,984.78 : x
  2. Step 2: Convert to fraction form
    462,842.26/694,013.76 = 209,984.78/x
  3. Step 3: Cross multiply
    462,842.26x = 694,013.76 × 209,984.78
  4. Step 4: Simplify right side
    462,842.26x = 145,732,327,527.21
  5. Step 5: Solve for x
    x = 145,732,327,527.21/462,842.26
  6. Step 6: Final answer
    x = 314,863.92

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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.