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Finding the Fourth Proportional to 687,375.86, 948,535.79 and 415,282.95

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Solution

The fourth proportional to 687,375.86, 948,535.79 and 415,282.95 is: 573,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,375.86 : 948,535.79 = 415,282.95 : x
  2. Step 2: Convert to fraction form
    687,375.86/948,535.79 = 415,282.95/x
  3. Step 3: Cross multiply
    687,375.86x = 948,535.79 × 415,282.95
  4. Step 4: Simplify right side
    687,375.86x = 393,910,738,975.37
  5. Step 5: Solve for x
    x = 393,910,738,975.37/687,375.86
  6. Step 6: Final answer
    x = 573,064.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.