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Finding the Fourth Proportional to 613,070.78, 919,343.72 and 192,379.46

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Solution

The fourth proportional to 613,070.78, 919,343.72 and 192,379.46 is: 288,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,070.78 : 919,343.72 = 192,379.46 : x
  2. Step 2: Convert to fraction form
    613,070.78/919,343.72 = 192,379.46/x
  3. Step 3: Cross multiply
    613,070.78x = 919,343.72 × 192,379.46
  4. Step 4: Simplify right side
    613,070.78x = 176,862,844,292.22
  5. Step 5: Solve for x
    x = 176,862,844,292.22/613,070.78
  6. Step 6: Final answer
    x = 288,486.83

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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.