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Finding the Fourth Proportional to 461,307.82, 691,990.91 and 195,018.70

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Solution

The fourth proportional to 461,307.82, 691,990.91 and 195,018.70 is: 292,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,307.82 : 691,990.91 = 195,018.70 : x
  2. Step 2: Convert to fraction form
    461,307.82/691,990.91 = 195,018.70/x
  3. Step 3: Cross multiply
    461,307.82x = 691,990.91 × 195,018.70
  4. Step 4: Simplify right side
    461,307.82x = 134,951,167,680.02
  5. Step 5: Solve for x
    x = 134,951,167,680.02/461,307.82
  6. Step 6: Final answer
    x = 292,540.39

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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.