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Finding the Fourth Proportional to 431,601.78, 647,402.67 and 182,285.94

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Solution

The fourth proportional to 431,601.78, 647,402.67 and 182,285.94 is: 273,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,601.78 : 647,402.67 = 182,285.94 : x
  2. Step 2: Convert to fraction form
    431,601.78/647,402.67 = 182,285.94/x
  3. Step 3: Cross multiply
    431,601.78x = 647,402.67 × 182,285.94
  4. Step 4: Simplify right side
    431,601.78x = 118,012,404,259.46
  5. Step 5: Solve for x
    x = 118,012,404,259.46/431,601.78
  6. Step 6: Final answer
    x = 273,428.91

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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.