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Finding the Fourth Proportional to 278,903.44, 384,919.50 and 165,726.28

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Solution

The fourth proportional to 278,903.44, 384,919.50 and 165,726.28 is: 228,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,903.44 : 384,919.50 = 165,726.28 : x
  2. Step 2: Convert to fraction form
    278,903.44/384,919.50 = 165,726.28/x
  3. Step 3: Cross multiply
    278,903.44x = 384,919.50 × 165,726.28
  4. Step 4: Simplify right side
    278,903.44x = 63,791,276,834.46
  5. Step 5: Solve for x
    x = 63,791,276,834.46/278,903.44
  6. Step 6: Final answer
    x = 228,721.73

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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.