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Finding the Fourth Proportional to 577,234.12, 865,979 and 198,146.36

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Solution

The fourth proportional to 577,234.12, 865,979 and 198,146.36 is: 297,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,234.12 : 865,979 = 198,146.36 : x
  2. Step 2: Convert to fraction form
    577,234.12/865,979 = 198,146.36/x
  3. Step 3: Cross multiply
    577,234.12x = 865,979 × 198,146.36
  4. Step 4: Simplify right side
    577,234.12x = 171,590,586,686.44
  5. Step 5: Solve for x
    x = 171,590,586,686.44/577,234.12
  6. Step 6: Final answer
    x = 297,263.42

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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.