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Finding the Fourth Proportional to 462,012, 693,294.48 and 199,356

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Solution

The fourth proportional to 462,012, 693,294.48 and 199,356 is: 299,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,012 : 693,294.48 = 199,356 : x
  2. Step 2: Convert to fraction form
    462,012/693,294.48 = 199,356/x
  3. Step 3: Cross multiply
    462,012x = 693,294.48 × 199,356
  4. Step 4: Simplify right side
    462,012x = 138,212,414,354.88
  5. Step 5: Solve for x
    x = 138,212,414,354.88/462,012
  6. Step 6: Final answer
    x = 299,153.30

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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.