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Finding the Fourth Proportional to 687,617.32, 948,896.90 and 381,675.72

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Solution

The fourth proportional to 687,617.32, 948,896.90 and 381,675.72 is: 526,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,617.32 : 948,896.90 = 381,675.72 : x
  2. Step 2: Convert to fraction form
    687,617.32/948,896.90 = 381,675.72/x
  3. Step 3: Cross multiply
    687,617.32x = 948,896.90 × 381,675.72
  4. Step 4: Simplify right side
    687,617.32x = 362,170,907,513.27
  5. Step 5: Solve for x
    x = 362,170,907,513.27/687,617.32
  6. Step 6: Final answer
    x = 526,704.17

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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.