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Finding the Fourth Proportional to 473,638.41, 709,978.80 and 203,942.43

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Solution

The fourth proportional to 473,638.41, 709,978.80 and 203,942.43 is: 305,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,638.41 : 709,978.80 = 203,942.43 : x
  2. Step 2: Convert to fraction form
    473,638.41/709,978.80 = 203,942.43/x
  3. Step 3: Cross multiply
    473,638.41x = 709,978.80 × 203,942.43
  4. Step 4: Simplify right side
    473,638.41x = 144,794,801,720.48
  5. Step 5: Solve for x
    x = 144,794,801,720.48/473,638.41
  6. Step 6: Final answer
    x = 305,707.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.