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Finding the Fourth Proportional to 431,426.70, 647,334.45 and 206,700.30

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Solution

The fourth proportional to 431,426.70, 647,334.45 and 206,700.30 is: 310,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,426.70 : 647,334.45 = 206,700.30 : x
  2. Step 2: Convert to fraction form
    431,426.70/647,334.45 = 206,700.30/x
  3. Step 3: Cross multiply
    431,426.70x = 647,334.45 × 206,700.30
  4. Step 4: Simplify right side
    431,426.70x = 133,804,225,015.34
  5. Step 5: Solve for x
    x = 133,804,225,015.34/431,426.70
  6. Step 6: Final answer
    x = 310,143.59

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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.