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Finding the Fourth Proportional to 529,428.80, 794,143.20 and 213,723.20

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Solution

The fourth proportional to 529,428.80, 794,143.20 and 213,723.20 is: 320,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,428.80 : 794,143.20 = 213,723.20 : x
  2. Step 2: Convert to fraction form
    529,428.80/794,143.20 = 213,723.20/x
  3. Step 3: Cross multiply
    529,428.80x = 794,143.20 × 213,723.20
  4. Step 4: Simplify right side
    529,428.80x = 169,726,825,962.24
  5. Step 5: Solve for x
    x = 169,726,825,962.24/529,428.80
  6. Step 6: Final answer
    x = 320,584.80

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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.