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Finding the Fourth Proportional to 256,515.65, 384,789.33 and 85,752.72

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Solution

The fourth proportional to 256,515.65, 384,789.33 and 85,752.72 is: 128,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,515.65 : 384,789.33 = 85,752.72 : x
  2. Step 2: Convert to fraction form
    256,515.65/384,789.33 = 85,752.72/x
  3. Step 3: Cross multiply
    256,515.65x = 384,789.33 × 85,752.72
  4. Step 4: Simplify right side
    256,515.65x = 32,996,731,674.48
  5. Step 5: Solve for x
    x = 32,996,731,674.48/256,515.65
  6. Step 6: Final answer
    x = 128,634.38

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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.