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Finding the Fourth Proportional to 687,498.49, 948,758.03 and 381,594.50

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Solution

The fourth proportional to 687,498.49, 948,758.03 and 381,594.50 is: 526,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,498.49 : 948,758.03 = 381,594.50 : x
  2. Step 2: Convert to fraction form
    687,498.49/948,758.03 = 381,594.50/x
  3. Step 3: Cross multiply
    687,498.49x = 948,758.03 × 381,594.50
  4. Step 4: Simplify right side
    687,498.49x = 362,040,846,078.84
  5. Step 5: Solve for x
    x = 362,040,846,078.84/687,498.49
  6. Step 6: Final answer
    x = 526,606.02

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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.