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Finding the Fourth Proportional to 330,774.68, 496,162.14 and 81,456.68

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Solution

The fourth proportional to 330,774.68, 496,162.14 and 81,456.68 is: 122,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,774.68 : 496,162.14 = 81,456.68 : x
  2. Step 2: Convert to fraction form
    330,774.68/496,162.14 = 81,456.68/x
  3. Step 3: Cross multiply
    330,774.68x = 496,162.14 × 81,456.68
  4. Step 4: Simplify right side
    330,774.68x = 40,415,720,666.10
  5. Step 5: Solve for x
    x = 40,415,720,666.10/330,774.68
  6. Step 6: Final answer
    x = 122,185.05

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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.