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Finding the Fourth Proportional to 357,345.16, 493,039.98 and 204,351.78

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Solution

The fourth proportional to 357,345.16, 493,039.98 and 204,351.78 is: 281,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,345.16 : 493,039.98 = 204,351.78 : x
  2. Step 2: Convert to fraction form
    357,345.16/493,039.98 = 204,351.78/x
  3. Step 3: Cross multiply
    357,345.16x = 493,039.98 × 204,351.78
  4. Step 4: Simplify right side
    357,345.16x = 100,753,597,524.16
  5. Step 5: Solve for x
    x = 100,753,597,524.16/357,345.16
  6. Step 6: Final answer
    x = 281,950.36

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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.