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Finding the Fourth Proportional to 357,378.12, 493,146.90 and 206,471.88

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Solution

The fourth proportional to 357,378.12, 493,146.90 and 206,471.88 is: 284,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,378.12 : 493,146.90 = 206,471.88 : x
  2. Step 2: Convert to fraction form
    357,378.12/493,146.90 = 206,471.88/x
  3. Step 3: Cross multiply
    357,378.12x = 493,146.90 × 206,471.88
  4. Step 4: Simplify right side
    357,378.12x = 101,820,967,559.17
  5. Step 5: Solve for x
    x = 101,820,967,559.17/357,378.12
  6. Step 6: Final answer
    x = 284,911.03

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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.