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Finding the Fourth Proportional to 431,159.28, 647,015.64 and 289,164.96

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Solution

The fourth proportional to 431,159.28, 647,015.64 and 289,164.96 is: 433,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,159.28 : 647,015.64 = 289,164.96 : x
  2. Step 2: Convert to fraction form
    431,159.28/647,015.64 = 289,164.96/x
  3. Step 3: Cross multiply
    431,159.28x = 647,015.64 × 289,164.96
  4. Step 4: Simplify right side
    431,159.28x = 187,094,251,659.97
  5. Step 5: Solve for x
    x = 187,094,251,659.97/431,159.28
  6. Step 6: Final answer
    x = 433,933.03

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1.5x scale

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.