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Finding the Fourth Proportional to 516,970.86, 775,493.15 and 137,889.44

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Solution

The fourth proportional to 516,970.86, 775,493.15 and 137,889.44 is: 206,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,970.86 : 775,493.15 = 137,889.44 : x
  2. Step 2: Convert to fraction form
    516,970.86/775,493.15 = 137,889.44/x
  3. Step 3: Cross multiply
    516,970.86x = 775,493.15 × 137,889.44
  4. Step 4: Simplify right side
    516,970.86x = 106,932,316,177.34
  5. Step 5: Solve for x
    x = 106,932,316,177.34/516,970.86
  6. Step 6: Final answer
    x = 206,843.99

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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.