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Finding the Fourth Proportional to 316,205.52, 436,474.80 and 195,439.44

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Solution

The fourth proportional to 316,205.52, 436,474.80 and 195,439.44 is: 269,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,205.52 : 436,474.80 = 195,439.44 : x
  2. Step 2: Convert to fraction form
    316,205.52/436,474.80 = 195,439.44/x
  3. Step 3: Cross multiply
    316,205.52x = 436,474.80 × 195,439.44
  4. Step 4: Simplify right side
    316,205.52x = 85,304,390,486.11
  5. Step 5: Solve for x
    x = 85,304,390,486.11/316,205.52
  6. Step 6: Final answer
    x = 269,775.15

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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.