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Finding the Fourth Proportional to 379,633, 523,848.06 and 209,844.04

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Solution

The fourth proportional to 379,633, 523,848.06 and 209,844.04 is: 289,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,633 : 523,848.06 = 209,844.04 : x
  2. Step 2: Convert to fraction form
    379,633/523,848.06 = 209,844.04/x
  3. Step 3: Cross multiply
    379,633x = 523,848.06 × 209,844.04
  4. Step 4: Simplify right side
    379,633x = 109,926,393,256.56
  5. Step 5: Solve for x
    x = 109,926,393,256.56/379,633
  6. Step 6: Final answer
    x = 289,559.64

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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.