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Finding the Fourth Proportional to 407,031.62, 610,640.43 and 140,791.91

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Solution

The fourth proportional to 407,031.62, 610,640.43 and 140,791.91 is: 211,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,031.62 : 610,640.43 = 140,791.91 : x
  2. Step 2: Convert to fraction form
    407,031.62/610,640.43 = 140,791.91/x
  3. Step 3: Cross multiply
    407,031.62x = 610,640.43 × 140,791.91
  4. Step 4: Simplify right side
    407,031.62x = 85,973,232,462.92
  5. Step 5: Solve for x
    x = 85,973,232,462.92/407,031.62
  6. Step 6: Final answer
    x = 211,220.03

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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.