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Finding the Fourth Proportional to 449,023.68, 672,999.87 and 208,813.32

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Solution

The fourth proportional to 449,023.68, 672,999.87 and 208,813.32 is: 312,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,023.68 : 672,999.87 = 208,813.32 : x
  2. Step 2: Convert to fraction form
    449,023.68/672,999.87 = 208,813.32/x
  3. Step 3: Cross multiply
    449,023.68x = 672,999.87 × 208,813.32
  4. Step 4: Simplify right side
    449,023.68x = 140,531,337,214.27
  5. Step 5: Solve for x
    x = 140,531,337,214.27/449,023.68
  6. Step 6: Final answer
    x = 312,970.88

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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.