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Finding the Fourth Proportional to 358,711.50, 494,978.53 and 205,741.79

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Solution

The fourth proportional to 358,711.50, 494,978.53 and 205,741.79 is: 283,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,711.50 : 494,978.53 = 205,741.79 : x
  2. Step 2: Convert to fraction form
    358,711.50/494,978.53 = 205,741.79/x
  3. Step 3: Cross multiply
    358,711.50x = 494,978.53 × 205,741.79
  4. Step 4: Simplify right side
    358,711.50x = 101,837,768,773.77
  5. Step 5: Solve for x
    x = 101,837,768,773.77/358,711.50
  6. Step 6: Final answer
    x = 283,898.81

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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.