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Finding the Fourth Proportional to 431,179.31, 646,530.89 and 200,116.38

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Solution

The fourth proportional to 431,179.31, 646,530.89 and 200,116.38 is: 300,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,179.31 : 646,530.89 = 200,116.38 : x
  2. Step 2: Convert to fraction form
    431,179.31/646,530.89 = 200,116.38/x
  3. Step 3: Cross multiply
    431,179.31x = 646,530.89 × 200,116.38
  4. Step 4: Simplify right side
    431,179.31x = 129,381,421,264.98
  5. Step 5: Solve for x
    x = 129,381,421,264.98/431,179.31
  6. Step 6: Final answer
    x = 300,064.08

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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.