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Finding the Fourth Proportional to 208,808.64, 287,944.20 and 178,693.92

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Solution

The fourth proportional to 208,808.64, 287,944.20 and 178,693.92 is: 246,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,808.64 : 287,944.20 = 178,693.92 : x
  2. Step 2: Convert to fraction form
    208,808.64/287,944.20 = 178,693.92/x
  3. Step 3: Cross multiply
    208,808.64x = 287,944.20 × 178,693.92
  4. Step 4: Simplify right side
    208,808.64x = 51,453,877,839.26
  5. Step 5: Solve for x
    x = 51,453,877,839.26/208,808.64
  6. Step 6: Final answer
    x = 246,416.42

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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.