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Finding the Fourth Proportional to 397,638.67, 596,720.44 and 210,781.39

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Solution

The fourth proportional to 397,638.67, 596,720.44 and 210,781.39 is: 316,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,638.67 : 596,720.44 = 210,781.39 : x
  2. Step 2: Convert to fraction form
    397,638.67/596,720.44 = 210,781.39/x
  3. Step 3: Cross multiply
    397,638.67x = 596,720.44 × 210,781.39
  4. Step 4: Simplify right side
    397,638.67x = 125,777,562,819.76
  5. Step 5: Solve for x
    x = 125,777,562,819.76/397,638.67
  6. Step 6: Final answer
    x = 316,311.20

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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.