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Finding the Fourth Proportional to 643,732.70, 965,689.26 and 194,402.60

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Solution

The fourth proportional to 643,732.70, 965,689.26 and 194,402.60 is: 291,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,732.70 : 965,689.26 = 194,402.60 : x
  2. Step 2: Convert to fraction form
    643,732.70/965,689.26 = 194,402.60/x
  3. Step 3: Cross multiply
    643,732.70x = 965,689.26 × 194,402.60
  4. Step 4: Simplify right side
    643,732.70x = 187,732,502,936.08
  5. Step 5: Solve for x
    x = 187,732,502,936.08/643,732.70
  6. Step 6: Final answer
    x = 291,631.14

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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.