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Finding the Fourth Proportional to 379,168.65, 523,256.31 and 215,817.19

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Solution

The fourth proportional to 379,168.65, 523,256.31 and 215,817.19 is: 297,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,168.65 : 523,256.31 = 215,817.19 : x
  2. Step 2: Convert to fraction form
    379,168.65/523,256.31 = 215,817.19/x
  3. Step 3: Cross multiply
    379,168.65x = 523,256.31 × 215,817.19
  4. Step 4: Simplify right side
    379,168.65x = 112,927,705,165.83
  5. Step 5: Solve for x
    x = 112,927,705,165.83/379,168.65
  6. Step 6: Final answer
    x = 297,829.75

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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.