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Finding the Fourth Proportional to 380,853.74, 570,657.30 and 231,139.92

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Solution

The fourth proportional to 380,853.74, 570,657.30 and 231,139.92 is: 346,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,853.74 : 570,657.30 = 231,139.92 : x
  2. Step 2: Convert to fraction form
    380,853.74/570,657.30 = 231,139.92/x
  3. Step 3: Cross multiply
    380,853.74x = 570,657.30 × 231,139.92
  4. Step 4: Simplify right side
    380,853.74x = 131,901,682,669.42
  5. Step 5: Solve for x
    x = 131,901,682,669.42/380,853.74
  6. Step 6: Final answer
    x = 346,331.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.