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Finding the Fourth Proportional to 256,798.76, 354,495.79 and 153,469.40

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Solution

The fourth proportional to 256,798.76, 354,495.79 and 153,469.40 is: 211,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,798.76 : 354,495.79 = 153,469.40 : x
  2. Step 2: Convert to fraction form
    256,798.76/354,495.79 = 153,469.40/x
  3. Step 3: Cross multiply
    256,798.76x = 354,495.79 × 153,469.40
  4. Step 4: Simplify right side
    256,798.76x = 54,404,256,696.39
  5. Step 5: Solve for x
    x = 54,404,256,696.39/256,798.76
  6. Step 6: Final answer
    x = 211,855.61

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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.