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Finding the Fourth Proportional to 419,978.09, 579,555.33 and 238,686.86

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Solution

The fourth proportional to 419,978.09, 579,555.33 and 238,686.86 is: 329,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,978.09 : 579,555.33 = 238,686.86 : x
  2. Step 2: Convert to fraction form
    419,978.09/579,555.33 = 238,686.86/x
  3. Step 3: Cross multiply
    419,978.09x = 579,555.33 × 238,686.86
  4. Step 4: Simplify right side
    419,978.09x = 138,332,241,913.96
  5. Step 5: Solve for x
    x = 138,332,241,913.96/419,978.09
  6. Step 6: Final answer
    x = 329,379.66

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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.