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Finding the Fourth Proportional to 462,423, 693,634.68 and 129,999

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Solution

The fourth proportional to 462,423, 693,634.68 and 129,999 is: 194,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,423 : 693,634.68 = 129,999 : x
  2. Step 2: Convert to fraction form
    462,423/693,634.68 = 129,999/x
  3. Step 3: Cross multiply
    462,423x = 693,634.68 × 129,999
  4. Step 4: Simplify right side
    462,423x = 90,171,814,765.32
  5. Step 5: Solve for x
    x = 90,171,814,765.32/462,423
  6. Step 6: Final answer
    x = 194,998.55

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1.5x scale

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.