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Finding the Fourth Proportional to 314,067.64, 471,144.90 and 100,785.40

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Solution

The fourth proportional to 314,067.64, 471,144.90 and 100,785.40 is: 151,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,067.64 : 471,144.90 = 100,785.40 : x
  2. Step 2: Convert to fraction form
    314,067.64/471,144.90 = 100,785.40/x
  3. Step 3: Cross multiply
    314,067.64x = 471,144.90 × 100,785.40
  4. Step 4: Simplify right side
    314,067.64x = 47,484,527,204.46
  5. Step 5: Solve for x
    x = 47,484,527,204.46/314,067.64
  6. Step 6: Final answer
    x = 151,192.04

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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.