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Finding the Fourth Proportional to 687,480.80, 948,709.22 and 381,539.41

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Solution

The fourth proportional to 687,480.80, 948,709.22 and 381,539.41 is: 526,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,480.80 : 948,709.22 = 381,539.41 : x
  2. Step 2: Convert to fraction form
    687,480.80/948,709.22 = 381,539.41/x
  3. Step 3: Cross multiply
    687,480.80x = 948,709.22 × 381,539.41
  4. Step 4: Simplify right side
    687,480.80x = 361,969,956,060.36
  5. Step 5: Solve for x
    x = 361,969,956,060.36/687,480.80
  6. Step 6: Final answer
    x = 526,516.46

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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.