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Finding the Fourth Proportional to 397,638.85, 596,720.72 and 210,781.57

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Solution

The fourth proportional to 397,638.85, 596,720.72 and 210,781.57 is: 316,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,638.85 : 596,720.72 = 210,781.57 : x
  2. Step 2: Convert to fraction form
    397,638.85/596,720.72 = 210,781.57/x
  3. Step 3: Cross multiply
    397,638.85x = 596,720.72 × 210,781.57
  4. Step 4: Simplify right side
    397,638.85x = 125,777,730,213.13
  5. Step 5: Solve for x
    x = 125,777,730,213.13/397,638.85
  6. Step 6: Final answer
    x = 316,311.47

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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.