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Finding the Fourth Proportional to 256,195.60, 384,311.77 and 73,818.93

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Solution

The fourth proportional to 256,195.60, 384,311.77 and 73,818.93 is: 110,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,195.60 : 384,311.77 = 73,818.93 : x
  2. Step 2: Convert to fraction form
    256,195.60/384,311.77 = 73,818.93/x
  3. Step 3: Cross multiply
    256,195.60x = 384,311.77 × 73,818.93
  4. Step 4: Simplify right side
    256,195.60x = 28,369,483,647.81
  5. Step 5: Solve for x
    x = 28,369,483,647.81/256,195.60
  6. Step 6: Final answer
    x = 110,733.69

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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.