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Finding the Fourth Proportional to 431,523.96, 647,504.57 and 287,528.20

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Solution

The fourth proportional to 431,523.96, 647,504.57 and 287,528.20 is: 431,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.96 : 647,504.57 = 287,528.20 : x
  2. Step 2: Convert to fraction form
    431,523.96/647,504.57 = 287,528.20/x
  3. Step 3: Cross multiply
    431,523.96x = 647,504.57 × 287,528.20
  4. Step 4: Simplify right side
    431,523.96x = 186,175,820,986.59
  5. Step 5: Solve for x
    x = 186,175,820,986.59/431,523.96
  6. Step 6: Final answer
    x = 431,437.97

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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.