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Finding the Fourth Proportional to 687,580.22, 948,815.70 and 381,642

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Solution

The fourth proportional to 687,580.22, 948,815.70 and 381,642 is: 526,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,580.22 : 948,815.70 = 381,642 : x
  2. Step 2: Convert to fraction form
    687,580.22/948,815.70 = 381,642/x
  3. Step 3: Cross multiply
    687,580.22x = 948,815.70 × 381,642
  4. Step 4: Simplify right side
    687,580.22x = 362,107,921,379.40
  5. Step 5: Solve for x
    x = 362,107,921,379.40/687,580.22
  6. Step 6: Final answer
    x = 526,640.98

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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.