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Finding the Fourth Proportional to 431,523.27, 647,503.54 and 287,527.51

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Solution

The fourth proportional to 431,523.27, 647,503.54 and 287,527.51 is: 431,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.27 : 647,503.54 = 287,527.51 : x
  2. Step 2: Convert to fraction form
    431,523.27/647,503.54 = 287,527.51/x
  3. Step 3: Cross multiply
    431,523.27x = 647,503.54 × 287,527.51
  4. Step 4: Simplify right side
    431,523.27x = 186,175,080,572.39
  5. Step 5: Solve for x
    x = 186,175,080,572.39/431,523.27
  6. Step 6: Final answer
    x = 431,436.94

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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.