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Finding the Fourth Proportional to 208,256.64, 287,179.34 and 178,141.64

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Solution

The fourth proportional to 208,256.64, 287,179.34 and 178,141.64 is: 245,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,256.64 : 287,179.34 = 178,141.64 : x
  2. Step 2: Convert to fraction form
    208,256.64/287,179.34 = 178,141.64/x
  3. Step 3: Cross multiply
    208,256.64x = 287,179.34 × 178,141.64
  4. Step 4: Simplify right side
    208,256.64x = 51,158,598,601.72
  5. Step 5: Solve for x
    x = 51,158,598,601.72/208,256.64
  6. Step 6: Final answer
    x = 245,651.70

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1.5x scale

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.