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Finding the Fourth Proportional to 293,152.78, 439,729.77 and 71,536.78

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Solution

The fourth proportional to 293,152.78, 439,729.77 and 71,536.78 is: 107,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,152.78 : 439,729.77 = 71,536.78 : x
  2. Step 2: Convert to fraction form
    293,152.78/439,729.77 = 71,536.78/x
  3. Step 3: Cross multiply
    293,152.78x = 439,729.77 × 71,536.78
  4. Step 4: Simplify right side
    293,152.78x = 31,456,851,815.94
  5. Step 5: Solve for x
    x = 31,456,851,815.94/293,152.78
  6. Step 6: Final answer
    x = 107,305.32

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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.