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Finding the Fourth Proportional to 431,833.67, 647,833.53 and 165,573.42

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Solution

The fourth proportional to 431,833.67, 647,833.53 and 165,573.42 is: 248,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,833.67 : 647,833.53 = 165,573.42 : x
  2. Step 2: Convert to fraction form
    431,833.67/647,833.53 = 165,573.42/x
  3. Step 3: Cross multiply
    431,833.67x = 647,833.53 × 165,573.42
  4. Step 4: Simplify right side
    431,833.67x = 107,264,013,152.77
  5. Step 5: Solve for x
    x = 107,264,013,152.77/431,833.67
  6. Step 6: Final answer
    x = 248,391.96

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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.