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Finding the Fourth Proportional to 462,408, 693,612 and 129,984

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Solution

The fourth proportional to 462,408, 693,612 and 129,984 is: 194,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,408 : 693,612 = 129,984 : x
  2. Step 2: Convert to fraction form
    462,408/693,612 = 129,984/x
  3. Step 3: Cross multiply
    462,408x = 693,612 × 129,984
  4. Step 4: Simplify right side
    462,408x = 90,158,462,208
  5. Step 5: Solve for x
    x = 90,158,462,208/462,408
  6. Step 6: Final answer
    x = 194,976

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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.