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Finding the Fourth Proportional to 379,084.93, 523,077.73 and 217,909.86

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Solution

The fourth proportional to 379,084.93, 523,077.73 and 217,909.86 is: 300,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,084.93 : 523,077.73 = 217,909.86 : x
  2. Step 2: Convert to fraction form
    379,084.93/523,077.73 = 217,909.86/x
  3. Step 3: Cross multiply
    379,084.93x = 523,077.73 × 217,909.86
  4. Step 4: Simplify right side
    379,084.93x = 113,983,792,407.10
  5. Step 5: Solve for x
    x = 113,983,792,407.10/379,084.93
  6. Step 6: Final answer
    x = 300,681.42

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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.