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Finding the Fourth Proportional to 380,963.96, 571,761.23 and 191,478.63

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Solution

The fourth proportional to 380,963.96, 571,761.23 and 191,478.63 is: 287,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,963.96 : 571,761.23 = 191,478.63 : x
  2. Step 2: Convert to fraction form
    380,963.96/571,761.23 = 191,478.63/x
  3. Step 3: Cross multiply
    380,963.96x = 571,761.23 × 191,478.63
  4. Step 4: Simplify right side
    380,963.96x = 109,480,056,050.12
  5. Step 5: Solve for x
    x = 109,480,056,050.12/380,963.96
  6. Step 6: Final answer
    x = 287,376.42

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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.