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Finding the Fourth Proportional to 379,705.88, 523,972.55 and 207,591.86

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Solution

The fourth proportional to 379,705.88, 523,972.55 and 207,591.86 is: 286,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,705.88 : 523,972.55 = 207,591.86 : x
  2. Step 2: Convert to fraction form
    379,705.88/523,972.55 = 207,591.86/x
  3. Step 3: Cross multiply
    379,705.88x = 523,972.55 × 207,591.86
  4. Step 4: Simplify right side
    379,705.88x = 108,772,436,904.65
  5. Step 5: Solve for x
    x = 108,772,436,904.65/379,705.88
  6. Step 6: Final answer
    x = 286,464.98

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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.