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Finding the Fourth Proportional to 636,978.24, 878,929.50 and 364,993.80

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Solution

The fourth proportional to 636,978.24, 878,929.50 and 364,993.80 is: 503,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,978.24 : 878,929.50 = 364,993.80 : x
  2. Step 2: Convert to fraction form
    636,978.24/878,929.50 = 364,993.80/x
  3. Step 3: Cross multiply
    636,978.24x = 878,929.50 × 364,993.80
  4. Step 4: Simplify right side
    636,978.24x = 320,803,818,137.10
  5. Step 5: Solve for x
    x = 320,803,818,137.10/636,978.24
  6. Step 6: Final answer
    x = 503,633.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.