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Finding the Fourth Proportional to 644,159.40, 966,348.45 and 194,876.70

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Solution

The fourth proportional to 644,159.40, 966,348.45 and 194,876.70 is: 292,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,159.40 : 966,348.45 = 194,876.70 : x
  2. Step 2: Convert to fraction form
    644,159.40/966,348.45 = 194,876.70/x
  3. Step 3: Cross multiply
    644,159.40x = 966,348.45 × 194,876.70
  4. Step 4: Simplify right side
    644,159.40x = 188,318,796,986.12
  5. Step 5: Solve for x
    x = 188,318,796,986.12/644,159.40
  6. Step 6: Final answer
    x = 292,348.13

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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.