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Finding the Fourth Proportional to 543,702.64, 815,346.08 and 178,879.34

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Solution

The fourth proportional to 543,702.64, 815,346.08 and 178,879.34 is: 268,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,702.64 : 815,346.08 = 178,879.34 : x
  2. Step 2: Convert to fraction form
    543,702.64/815,346.08 = 178,879.34/x
  3. Step 3: Cross multiply
    543,702.64x = 815,346.08 × 178,879.34
  4. Step 4: Simplify right side
    543,702.64x = 145,848,568,661.99
  5. Step 5: Solve for x
    x = 145,848,568,661.99/543,702.64
  6. Step 6: Final answer
    x = 268,250.62

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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.