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Finding the Fourth Proportional to 431,528.43, 647,291.72 and 115,985.34

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Solution

The fourth proportional to 431,528.43, 647,291.72 and 115,985.34 is: 173,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,528.43 : 647,291.72 = 115,985.34 : x
  2. Step 2: Convert to fraction form
    431,528.43/647,291.72 = 115,985.34/x
  3. Step 3: Cross multiply
    431,528.43x = 647,291.72 × 115,985.34
  4. Step 4: Simplify right side
    431,528.43x = 75,076,350,513.35
  5. Step 5: Solve for x
    x = 75,076,350,513.35/431,528.43
  6. Step 6: Final answer
    x = 173,977.76

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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.