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Finding the Fourth Proportional to 357,408.12, 493,188.30 and 206,501.88

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Solution

The fourth proportional to 357,408.12, 493,188.30 and 206,501.88 is: 284,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,408.12 : 493,188.30 = 206,501.88 : x
  2. Step 2: Convert to fraction form
    357,408.12/493,188.30 = 206,501.88/x
  3. Step 3: Cross multiply
    357,408.12x = 493,188.30 × 206,501.88
  4. Step 4: Simplify right side
    357,408.12x = 101,844,311,144.00
  5. Step 5: Solve for x
    x = 101,844,311,144.00/357,408.12
  6. Step 6: Final answer
    x = 284,952.43

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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.