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Finding the Fourth Proportional to 343,992.21, 515,970.08 and 107,307.78

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Solution

The fourth proportional to 343,992.21, 515,970.08 and 107,307.78 is: 160,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,992.21 : 515,970.08 = 107,307.78 : x
  2. Step 2: Convert to fraction form
    343,992.21/515,970.08 = 107,307.78/x
  3. Step 3: Cross multiply
    343,992.21x = 515,970.08 × 107,307.78
  4. Step 4: Simplify right side
    343,992.21x = 55,367,601,251.37
  5. Step 5: Solve for x
    x = 55,367,601,251.37/343,992.21
  6. Step 6: Final answer
    x = 160,955.98

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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.