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Finding the Fourth Proportional to 577,861.12, 797,433 and 319,731.34

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Solution

The fourth proportional to 577,861.12, 797,433 and 319,731.34 is: 441,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,861.12 : 797,433 = 319,731.34 : x
  2. Step 2: Convert to fraction form
    577,861.12/797,433 = 319,731.34/x
  3. Step 3: Cross multiply
    577,861.12x = 797,433 × 319,731.34
  4. Step 4: Simplify right side
    577,861.12x = 254,964,321,650.22
  5. Step 5: Solve for x
    x = 254,964,321,650.22/577,861.12
  6. Step 6: Final answer
    x = 441,220.76

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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.