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Finding the Fourth Proportional to 397,070.56, 595,664.88 and 130,781.92

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Solution

The fourth proportional to 397,070.56, 595,664.88 and 130,781.92 is: 196,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,070.56 : 595,664.88 = 130,781.92 : x
  2. Step 2: Convert to fraction form
    397,070.56/595,664.88 = 130,781.92/x
  3. Step 3: Cross multiply
    397,070.56x = 595,664.88 × 130,781.92
  4. Step 4: Simplify right side
    397,070.56x = 77,902,196,682.97
  5. Step 5: Solve for x
    x = 77,902,196,682.97/397,070.56
  6. Step 6: Final answer
    x = 196,192.33

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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.