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Finding the Fourth Proportional to 431,621.20, 647,431.80 and 428,856.40

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Solution

The fourth proportional to 431,621.20, 647,431.80 and 428,856.40 is: 643,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,621.20 : 647,431.80 = 428,856.40 : x
  2. Step 2: Convert to fraction form
    431,621.20/647,431.80 = 428,856.40/x
  3. Step 3: Cross multiply
    431,621.20x = 647,431.80 × 428,856.40
  4. Step 4: Simplify right side
    431,621.20x = 277,655,270,993.52
  5. Step 5: Solve for x
    x = 277,655,270,993.52/431,621.20
  6. Step 6: Final answer
    x = 643,284.60

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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.