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Finding the Fourth Proportional to 539,843.41, 744,946.39 and 298,123.86

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Solution

The fourth proportional to 539,843.41, 744,946.39 and 298,123.86 is: 411,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,843.41 : 744,946.39 = 298,123.86 : x
  2. Step 2: Convert to fraction form
    539,843.41/744,946.39 = 298,123.86/x
  3. Step 3: Cross multiply
    539,843.41x = 744,946.39 × 298,123.86
  4. Step 4: Simplify right side
    539,843.41x = 222,086,293,279.87
  5. Step 5: Solve for x
    x = 222,086,293,279.87/539,843.41
  6. Step 6: Final answer
    x = 411,390.21

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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.