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Finding the Fourth Proportional to 687,479, 948,706.75 and 381,537.61

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Solution

The fourth proportional to 687,479, 948,706.75 and 381,537.61 is: 526,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,479 : 948,706.75 = 381,537.61 : x
  2. Step 2: Convert to fraction form
    687,479/948,706.75 = 381,537.61/x
  3. Step 3: Cross multiply
    687,479x = 948,706.75 × 381,537.61
  4. Step 4: Simplify right side
    687,479x = 361,967,305,985.87
  5. Step 5: Solve for x
    x = 361,967,305,985.87/687,479
  6. Step 6: Final answer
    x = 526,513.98

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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.