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Finding the Fourth Proportional to 768,358.68, 1,152,288.76 and 255,887.32

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Solution

The fourth proportional to 768,358.68, 1,152,288.76 and 255,887.32 is: 383,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,358.68 : 1,152,288.76 = 255,887.32 : x
  2. Step 2: Convert to fraction form
    768,358.68/1,152,288.76 = 255,887.32/x
  3. Step 3: Cross multiply
    768,358.68x = 1,152,288.76 × 255,887.32
  4. Step 4: Simplify right side
    768,358.68x = 294,856,082,662.52
  5. Step 5: Solve for x
    x = 294,856,082,662.52/768,358.68
  6. Step 6: Final answer
    x = 383,747.97

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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.