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Finding the Fourth Proportional to 534,234.80, 801,649.20 and 218,669.60

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Solution

The fourth proportional to 534,234.80, 801,649.20 and 218,669.60 is: 328,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,234.80 : 801,649.20 = 218,669.60 : x
  2. Step 2: Convert to fraction form
    534,234.80/801,649.20 = 218,669.60/x
  3. Step 3: Cross multiply
    534,234.80x = 801,649.20 × 218,669.60
  4. Step 4: Simplify right side
    534,234.80x = 175,296,309,904.32
  5. Step 5: Solve for x
    x = 175,296,309,904.32/534,234.80
  6. Step 6: Final answer
    x = 328,125.97

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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.