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Finding the Fourth Proportional to 431,071.73, 646,607.60 and 131,553.84

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Solution

The fourth proportional to 431,071.73, 646,607.60 and 131,553.84 is: 197,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,071.73 : 646,607.60 = 131,553.84 : x
  2. Step 2: Convert to fraction form
    431,071.73/646,607.60 = 131,553.84/x
  3. Step 3: Cross multiply
    431,071.73x = 646,607.60 × 131,553.84
  4. Step 4: Simplify right side
    431,071.73x = 85,063,712,095.41
  5. Step 5: Solve for x
    x = 85,063,712,095.41/431,071.73
  6. Step 6: Final answer
    x = 197,330.76

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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.