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Finding the Fourth Proportional to 301,754.72, 416,248.28 and 188,380.64

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Solution

The fourth proportional to 301,754.72, 416,248.28 and 188,380.64 is: 259,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,754.72 : 416,248.28 = 188,380.64 : x
  2. Step 2: Convert to fraction form
    301,754.72/416,248.28 = 188,380.64/x
  3. Step 3: Cross multiply
    301,754.72x = 416,248.28 × 188,380.64
  4. Step 4: Simplify right side
    301,754.72x = 78,413,117,385.30
  5. Step 5: Solve for x
    x = 78,413,117,385.30/301,754.72
  6. Step 6: Final answer
    x = 259,857.14

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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.