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Finding the Fourth Proportional to 462,362, 693,543 and 129,938

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Solution

The fourth proportional to 462,362, 693,543 and 129,938 is: 194,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,362 : 693,543 = 129,938 : x
  2. Step 2: Convert to fraction form
    462,362/693,543 = 129,938/x
  3. Step 3: Cross multiply
    462,362x = 693,543 × 129,938
  4. Step 4: Simplify right side
    462,362x = 90,117,590,334
  5. Step 5: Solve for x
    x = 90,117,590,334/462,362
  6. Step 6: Final answer
    x = 194,907

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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.